☆ 4.6 Article

Modeling escaping behavior from the herd in different ecological interactions

PHYSICA SCRIPTA (2021)

Related references

Note: Only part of the references are listed.

Article Green & Sustainable Science & Technology

Dynamic Analysis of a Three-Species Food Chain System with Intra-Specific Competition

Lakshmi Narayan Guin et al.

Summary: This article examines a phase transition from stability to chaos in a three-species food chain model with Ultra-specific competition, considering functional response and intra-specific competition among predators. The existence of ecologically feasible equilibria with stability is meticulously addressed. The system's dissipativeness in ecological principles is not ruled out, and the dynamics of the system are understood through both local and global responses of the co-existence equilibrium. Hopf-bifurcation and chaos in the proposed system are notable, and the analytical results are validated through numerical simulation.

JOURNAL OF ENVIRONMENTAL ACCOUNTING AND MANAGEMENT (2021)

Add to Collection

Article Mathematical & Computational Biology

Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting

Lakshmi Narayan Guin et al.

Summary: The paper investigates a reaction-diffusion predator-prey model incorporating prey refuge and harvesting, analyzing asymptotic stability and bifurcation conditions to discuss the spatiotemporal dynamics of the system. The results suggest that the cooperation of refuge and harvesting plays a crucial role in controlling spatial pattern formation of the species. Computer simulations reveal typical dynamics of population density variation within the Turing space, including isolated groups like spots, stripe-spot mixtures, and labyrinthine patterns.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2021)

Add to Collection

Article Engineering, Multidisciplinary

Age-Structured Modeling of COVID-19 Epidemic in the USA, UAE and Algeria

Soufiane Bentout et al.

Summary: This study aims to forecast the progression of COVID-19 in different countries by considering the infection dynamics and impact on various populations. It predicts the peak time and number of infectious cases by factoring in hospitalization rates, healthcare personnel infections, and the shortage of personal protective equipment. The research also compares the effectiveness of non-pharmaceutical interventions and full lockdowns in controlling the spread of the disease.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Add to Collection

Article Mathematics, Applied

Global Dynamics of an SEIR Model with Two Age Structures and a Nonlinear Incidence

Soufiane Bentout et al.

Summary: The paper investigates an SEIR model with infection and latency ages as well as a general class of nonlinear incidence. It presents preliminary results on existence of solutions and bounds of solutions, then delves into global dynamics. The existence of a global attractor A is proven, characterized by cases of basic reproduction number R0 less than or greater than 1, demonstrating stability and persistence properties. The approach of Lyapunov functional is employed to identify an endemic equilibrium in the case of R0>1.

ACTA APPLICANDAE MATHEMATICAE (2021)

Add to Collection

Article Mathematical & Computational Biology

Global threshold dynamics of an age structured alcoholism model

Soufiane Bentout et al.

Summary: This research examines an age-structured alcoholism model and investigates its global behavior, showing that the system exhibits threshold dynamics based on the basic reproduction number. The study finds that the alcohol-free equilibrium is globally asymptotically stable when R₀ <= 1, but a nontrivial equilibrium persists and is globally asymptotically stable when R₀ > 1. Additionally, the effects of susceptible drinkers rate and repulse rate of recovers to alcoholics are explored to provide strategies for reducing alcohol use spread. Mathematical results are numerically tested for biological relevance.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2021)

Add to Collection

Article Mathematics, Applied

A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

M. M. Khader et al.

Summary: This paper investigates the spectral collocation method with the use of Chebyshev polynomials in analyzing space fractional Korteweg-de Vries and space fractional Korteweg-de Vries-Burgers equations based on the Caputo-Fabrizio fractional derivative. The proposed method simplifies the models to ordinary differential equations and solves them effectively, which is the first work studying Caputo-Fabrizio space fractional derivative for the proposed equations. The results are accurate and the method can be applied to various fractional systems.

APPLIED NUMERICAL MATHEMATICS (2021)

Add to Collection

Article Materials Science, Multidisciplinary

Non-standard finite difference scheme and analysis of smoking model with reversion class

Anwar Zeb et al.

Summary: Smokers are more vulnerable to COVID-19 due to the increased likelihood of the virus being transmitted from hand to mouth through regular contact between fingers and lips during smoking. Additionally, smokers may have pre-existing lung diseases or reduced lung capacity, further increasing the risk of serious illness from COVID-19. A mathematical model was developed in this study to analyze the stability of equilibrium points related to smoking status, and numerical results were obtained using various techniques including NSFD, ODE45, and RK4 methods, with graphical representations shown through MATLAB.

RESULTS IN PHYSICS (2021)

Add to Collection

Article Engineering, Multidisciplinary

Hopf bifurcation of a VEIQS worm propagation model in mobile networks with two delays

Fangfang Yang et al.

Summary: A new worm propagation model is proposed in this paper, with analysis on stability and bifurcation conditions based on different time delays. Numerical simulations are presented to validate the analytical findings.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Add to Collection

Article Engineering, Multidisciplinary

Study of COVID-19 mathematical model of fractional order via modified Euler method

Ghazala Nazir et al.

Summary: The study aims to develop results for transmission of COVID-19 disease through the BHRP mathematical model under CFOD. The feasible region and boundedness of the model are derived first, followed by the derivation of disease free equilibrium points and basic reproductive number, establishment of theoretical results via fixed point theory, and computation of numerical solution using MEM. The proposed method is demonstrated through graphical representation with real values of parameters.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Add to Collection

Article Engineering, Multidisciplinary

Dynamical analysis of fractional-order tobacco smoking model containing snuffing class

Hussam Alrabaiah et al.

Summary: The study focuses on converting an existing tobacco smoking model to a fractional order, analyzing the application of fractional derivatives and investigating the positivity, boundness, and dynamics of the proposed model. Numerical results are obtained using the generalized Adams-Bashforth-Moulton Method (GABMM) and fourth-order Runge-Kutta (RK4) method in Matlab environment.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Add to Collection

Article Engineering, Multidisciplinary

Control of COVID-19 dynamics through a fractional-order model

Samia Bushnaq et al.

Summary: This study investigates the impact of physical distance on the transmission of SARS-CoV-2 using a fractional mathematical model. Two control methods, media education and quarantine, are proposed to minimize the number of susceptible and infected individuals while maximizing the number of recovered individuals. The study discusses a general fractional order optimal control problem and numerically obtains extremals to achieve the set goals.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Add to Collection

Article Computer Science, Theory & Methods

Impact of predation in the spread of an infectious disease with time fractional derivative and social behavior

Soufiane Bentout et al.

Summary: The paper explores the influence of predation on disease spread in prey population with social behavior, highlighting the role of memory measured by time fractional derivative in predator-prey interaction modeling. The study is divided into two cases examining non-selective hunting and selective weakest infected prey impact on infection prevalence, utilizing Caputo fractional derivative operator for numerical simulations.

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING (2021)

Add to Collection

Article Computer Science, Theory & Methods

Backward, Hopf bifurcation in a heroin epidemic model with treat age

Soufiane Bentout et al.

Summary: This paper investigates a heroin epidemic model with considerations on inner rivalry among drug users and the influence of treatment period for drug consumers. It is found that the model may undergo backward bifurcation leading to the possibility of two endemic equilibriums, and the existence of a Hopf bifurcation under certain conditions on the model parameters. These mathematical results are numerically confirmed.

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING (2021)

Add to Collection

Article Mathematics, Applied

Spatiotemporal Patterns in a Diffusive Predator-Prey Model with Prey Social Behavior

Salih Djilali et al.

ACTA APPLICANDAE MATHEMATICAE (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Similarities in a fifth-order evolution equation with and with no singular kernel

Emile F. Doungmo Goufo et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Applied

Mathematical and numerical analysis of a three-species predator-prey model with herd behavior and time fractional-order derivative

Behzad Ghanbari et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Add to Collection

Article Mathematics, Applied

Pattern formation of a diffusive predator-prey model with herd behavior and nonlocal prey competition

Salih Djilali

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Add to Collection

Article Mathematical & Computational Biology

Spatiotemporal patterns induced by cross-diffusion in predator-prey model with prey herd shape effect

Salih Djilali

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

Behzad Ghanbari et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Dynamical study of fractional order mutualism parasitism food web module

Aziz Khan et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Solutions of a disease model with fractional white noise

M. A. Akinlar et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Engineering, Multidisciplinary

A new fractional-order compartmental disease model

Luu Vu Cam Hoan et al.

ALEXANDRIA ENGINEERING JOURNAL (2020)

Add to Collection

Article Mathematics, Applied

The effect of the defensive strategy taken by the prey on predator-prey interaction

Fethi Souna et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative

Salih Djilali et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model

Khalid K. Ali et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil

Salih Djilali et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population

Behzad Ghanbari et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

Sunil Kumar et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Materials Science, Multidisciplinary

Fractal-fractional study of the hepatitis C virus infection model

Khaled M. Saad et al.

RESULTS IN PHYSICS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting

Fethi Souna et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

H. M. Srivastava et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems

Antonio Coronel-Escamilla et al.

CHAOS SOLITONS & FRACTALS (2020)

Add to Collection

Article Biology

Modeling the Impact of Unreported Cases of the COVID-19 in the North African Countries

Salih Djilali et al.

BIOLOGY-BASEL (2020)

Add to Collection

Article Mathematical & Computational Biology

Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping

Fethi Souna et al.

MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2020)

Add to Collection

Article Physics, Multidisciplinary

Hybrid tactics for bifurcation control in a fractional-order delayed predator-prey model

Weigang Zhou et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2019)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Impact of prey herd shape on the predator-prey interaction

Salih Djilali

CHAOS SOLITONS & FRACTALS (2019)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Spatial Pattern of Ratio-Dependent Predator-Prey Model with Prey Harvesting and Cross-Diffusion

R. Sivasamy et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)

Add to Collection

Article Mathematics, Applied

A novel strategy of bifurcation control for a delayed fractional predator-prey model

Chengdai Huang et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Add to Collection

Article Mathematics, Applied

Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition

Zhen Wang et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Add to Collection

Article Engineering, Mechanical

Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge

Yong Zhou et al.

NONLINEAR DYNAMICS (2019)

Add to Collection

Article Mathematics, Applied

EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY

Salih Djilali

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION (2019)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey

Honglan Zhu et al.

DISCRETE DYNAMICS IN NATURE AND SOCIETY (2018)

Add to Collection

Article Mathematics, Applied

Hopf bifurcation of a diffusive Gause-type predator-prey model induced by time fractional-order derivatives

Hongwei Yin et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2018)

Add to Collection

Article Physics, Multidisciplinary

Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis

Xia Liu et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2018)

Add to Collection

Article Physics, Multidisciplinary

Analytical and Numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations'

J. F. Gomez-Aguilar

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2018)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator-Prey Model

Chengdai Huang et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2018)

Add to Collection

Article Mathematics, Applied

Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability

Salih Djilali

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2018)

Add to Collection

Article Physics, Multidisciplinary

Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law

Jose Francisco Gomez-Aguilar et al.

ENTROPY (2017)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Stability and Bifurcation Analysis in a Predator-Prey System with Constant Harvesting and Prey Group Defense

Jianfeng Luo et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2017)

Add to Collection

Article Computer Science, Interdisciplinary Applications

SShape effects on herd behavior in ecological interacting population models

Iulia Martina Bulai et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2017)

Add to Collection

Article Mathematics, Applied

Stability, Steady-State Bifurcations, and Turing Patterns in a Predator-Prey Model with Herd Behavior and Prey-taxis

Yongli Song et al.

STUDIES IN APPLIED MATHEMATICS (2017)

Add to Collection

Article Mathematics, Applied

A Heroin Epidemic Model: Very General Non Linear Incidence, Treat-Age, and Global Stability

Salih Djilali et al.

ACTA APPLICANDAE MATHEMATICAE (2017)

Add to Collection

Article Mathematics, Interdisciplinary Applications

Stability and Hopf Bifurcation of a Diffusive Predator-Prey Model with Hyperbolic Mortality

Muniyagounder Sambath et al.

COMPLEXITY (2016)

Add to Collection

Article Mathematics, Applied

Global dynamics of a predator-prey model with defense mechanism for prey

Chaoqun Xu et al.

APPLIED MATHEMATICS LETTERS (2016)

Add to Collection

Article Biology

Ecoepidernic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey

Bob W. Kooi et al.

MATHEMATICAL BIOSCIENCES (2016)

Add to Collection

Article Engineering, Mechanical

Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves

Sunil Kumar et al.

NONLINEAR DYNAMICS (2016)

Add to Collection

Article Engineering, Mechanical

Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion

Xiaosong Tang et al.

NONLINEAR DYNAMICS (2016)

Add to Collection

Article Mathematics, Applied

Ecoepidemics with infected prey in herd defence: the harmless and toxic cases

Elena Cagliero et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2016)

Add to Collection

Article Engineering, Mechanical

Fractional-order delayed predator-prey systems with Holling type-II functional response

F. A. Rihan et al.

NONLINEAR DYNAMICS (2015)

Add to Collection

Article Mathematics, Applied

Bifurcation analysis of a diffusive predator-prey system with a herd behavior and quadratic mortality

Zhou Xu et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2015)

Add to Collection

Article Engineering, Multidisciplinary

A new analytical modelling for fractional telegraph equation via Laplace transform

Sunil Kumar

APPLIED MATHEMATICAL MODELLING (2014)

Add to Collection

Article Mathematics, Applied

Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel

M. M. Rashidi et al.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2014)

Add to Collection

Article Computer Science, Interdisciplinary Applications

New analytical method for gas dynamics equation arising in shock fronts

Sunil Kumar et al.

COMPUTER PHYSICS COMMUNICATIONS (2014)

Add to Collection

Article Engineering, Multidisciplinary

Dynamic analysis of a fractional order prey-predator interaction with harvesting

M. Javidi et al.

APPLIED MATHEMATICAL MODELLING (2013)

Add to Collection

Article Engineering, Multidisciplinary

Fractional-order Legendre functions for solving fractional-order differential equations

S. Kazem et al.

APPLIED MATHEMATICAL MODELLING (2013)

Add to Collection

Article Computer Science, Interdisciplinary Applications

An ecoepidemic model with diseased predators and prey group defense

Sabrina Belvisi et al.

SIMULATION MODELLING PRACTICE AND THEORY (2013)

Add to Collection

Article Multidisciplinary Sciences

Measuring memory with the order of fractional derivative

Maolin Du et al.

SCIENTIFIC REPORTS (2013)

Add to Collection

Article Mathematics, Applied

Predator-prey dynamics with square root functional responses

Peter A. Braza

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2012)

Add to Collection

Article Mathematics, Applied

Modeling herd behavior in population systems

Valerio Ajraldi et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2011)

Add to Collection

Article Mathematics, Applied

Detailed error analysis for a fractional Adams method

K Diethelm et al.

NUMERICAL ALGORITHMS (2004)

Add to Collection

© Peeref 2019-2024. All rights reserved.