☆ 4.3 Article

Effects of prey refuge and predator cooperation on a predator-prey system

JOURNAL OF BIOLOGICAL DYNAMICS (2023)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

ON DYNAMICS AND STATIONARY PATTERN FORMATIONS OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH HUNTING COOPERATION

Kimun Ryu et al.

Summary: This study provides a qualitative analysis of a diffusive predator-prey system with a hunting-cooperation functional response under homogeneous Neumann boundary conditions. The study investigates the global attractor for nonnegative time-dependent solutions, the nonpersistence leading to predator extinction, the local stability at all feasible nonnegative constant steady states, the occurrence of Hopf bifurcation, the existence and nonexistence of nonconstant positive steady states, and the limiting behavior of positive steady states according to diffusion rate. Interesting results, such as bistability, predator extinction induced by a large consumption rate, and stationary patterns in the system with hunting cooperation in predators, are observed.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Hunting cooperation among slowly diffusing specialist predators can induce stationary Turing patterns

Nayana Mukherjee et al.

Summary: In this study, we investigated the spatio-temporal extension of a prey-predator model with hunting cooperation in specialist predators. The results showed that when the predators had lower dispersal than the prey, stationary Turing patterns and other non-Turing patterns could form. Hunting cooperation among predators supported successful predation.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2022)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach

Shivam et al.

Summary: This paper conducts a temporal and spatio-temporal analysis of a prey-predator model with cooperative hunting among predators and herd behavior in prey. The findings reveal that cooperative hunting, interspecific competition, and self-diffusion have important implications in the prey-predator system.

CHAOS SOLITONS & FRACTALS (2022)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Bifurcation Analysis and Spatio-Temporal Patterns of a Prey-Predator Model with Hunting Cooperation

Subrata Dey et al.

Summary: Understanding the effects of cooperative hunting among predators is important in ecology. This study explores a prey-predator model with cooperative hunting and analyzes the bifurcations and chaos that may occur. The results show that cooperative hunting can lead to spatial and temporal chaos under certain parameter conditions.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2022)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response

Salih Djilali et al.

Summary: This paper analyzes a superdiffusive resource-consumer system with hunting cooperation functional response, demonstrating that superdiffusion leads to complex patterns like Hopf bifurcation (HB), Turing bifurcation (TB), and Turing-Hopf bifurcation (THB). The stability of certain equilibria can be influenced by super-diffusion. Numerical tests were conducted to validate the obtained results.

CHAOS SOLITONS & FRACTALS (2021)

添加到收藏夹

Article Computer Science, Interdisciplinary Applications

A Ricker-type predator-prey system with hunting cooperation in discrete time

Yen-hsi Chou et al.

Summary: This study shows that the number of equilibrium points in a predator-prey system depends on both the predator's basic reproduction number and the intensity of predator cooperation. While hunting cooperation can increase the likelihood of predator persistence, it may also destabilize the predator-prey interaction and drive the predator to extinction.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

添加到收藏夹

Article Computer Science, Interdisciplinary Applications

Role of Allee effect in prey and hunting cooperation in a generalist predator

Krishnanand Vishwakarma et al.

Summary: Cooperation among predator populations is a common phenomenon that can be considered as a type of Allee effect. Incorporating the Allee effect in prey populations can address complex dynamical features. Studying the dynamics of a generalist predator in prey-predator systems is also crucial in population research.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

添加到收藏夹

Article Biology

COMPETITION AND COOPERATION ON PREDATION: BIFURCATION THEORY OF MUTUALISM

Srijana Ghimire et al.

Summary: This paper investigates two predator-prey models incorporating hunting cooperation (i.e., mutualism) and finds that mutualism may enhance the survival of predators in harsh conditions, contradicting the competitive exclusion principle. The study demonstrates that cooperative predation (mutualism) can establish multiple stability switches on the positive equilibrium and generate backward bifurcation on equilibria.

JOURNAL OF BIOLOGICAL SYSTEMS (2021)

添加到收藏夹

Article Biology

STOCHASTICITY AND COOPERATIVE HUNTING IN PREDATOR-PREY INTERACTIONS

Xiaochuan Hu et al.

Summary: In this study, models of stochastic differential equations describing predator-prey interactions with cooperative hunting in predators were derived from a deterministic system proposed by Alves and Hilker. It was found that predators may go extinct in the stochastic setting when they can otherwise survive indefinitely in the deterministic setting, particularly in parameter regimes with intensive predator cooperation.

JOURNAL OF BIOLOGICAL SYSTEMS (2021)

添加到收藏夹

Article Mathematics, Applied

Qualitative analysis of a degenerate fixed point of a discrete predator-prey model with cooperative hunting

Qi Cheng et al.

Summary: This paper investigates the qualitative properties near a degenerate fixed point of a discrete predator-prey model with cooperative hunting derived from the Lotka-Volterra model. By applying the theory of normal form and Takens's theorem, the problem is transformed into an ordinary differential system, and the technique of desingularization is used to analyze the qualitative properties of the system. The qualitative structures of the discrete model are obtained by utilizing the conjugacy between the model and the time-one mapping of the vector field.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

添加到收藏夹

Article Mathematics, Applied

DYNAMICS OF A LESLIE-GOWER PREDATOR-PREY SYSTEM WITH HUNTING COOPERATION AND PREY HARVESTING

Yong Yao et al.

Summary: This study investigates the dynamics of a Leslie-Gower predator-prey system with hunting cooperation and constant-rate harvesting, revealing complex behaviors such as multiple weak focus and cusp of codimension under various parameter values. The system is shown to exhibit different bifurcations, with critical values of prey harvesting and hunting cooperation posing a risk of extinction for predator and prey populations if exceeded. Numerical simulations are presented to illustrate the theoretical findings.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)

添加到收藏夹

Article Mathematics, Applied

TRAVELING WAVES IN COOPERATIVE PREDATION: RELAXATION OF SUBLINEARITY

Srijana Ghimire et al.

Summary: This paper investigates traveling wave solutions of a diffusive predator-prey model with hunting cooperation, where a critical wave speed is identified below which no positive traveling wave solution exists if the basic reproduction number for the diffusion-free model is greater than one; on the other hand, if the wave speed exceeds this critical value, the existence of a positive traveling wave solution connecting predator-free equilibrium to unique positive equilibrium is proven under a technical assumption of weak cooperative predation, with key steps involving the construction of a suitable pentahedron and Lyapunov function. Five open problems related to traveling wave solutions in cooperative predation are proposed at the end of the paper.

MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING (2021)

添加到收藏夹

Article Ecology

Stability of a certain class of a host-parasitoid models with a spatial refuge effect

E. Beso et al.

JOURNAL OF BIOLOGICAL DYNAMICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Dynamics of a delayed predator-prey interaction incorporating nonlinear prey refuge under the influence of fear effect and additional food

Sudeshna Mondal et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2020)

添加到收藏夹

Article Mathematics, Applied

Global Behavior and Bifurcation in a Class of Host-Parasitoid Models with a Constant Host Refuge

S. Kalabusic et al.

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS (2020)

添加到收藏夹

Article Mathematical & Computational Biology

Cooperative hunting in a discrete predator-prey system

Yunshyong Chow et al.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

A prey-predator system with disease in prey and cooperative hunting strategy in predator

Sangeeta Saha et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Qualitative analysis for a diffusive predator-prey model with hunting cooperative

Daiyong Wu et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2019)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence

Deeptajyoti Sen et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Dynamics of an additional food provided predator-prey system with prey refuge dependent on both species and constant harvest in predator

Sudeshna Mondal et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2019)

添加到收藏夹

Article Mathematical & Computational Biology

Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge

Sangeeta Saha et al.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2019)

添加到收藏夹

Article Ecology

Cooperative hunting in a discrete predator-prey system II

Yunshyong Chow et al.

JOURNAL OF BIOLOGICAL DYNAMICS (2019)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Hunting Cooperation in a Discrete-Time Predator-Prey System

Saheb Pal et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2018)

添加到收藏夹

Article Mathematics, Applied

Global qualitative analysis of a discrete host-parasitoid model with refuge and strong Allee effects

Daiyong Wu et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2018)

添加到收藏夹

Article Environmental Sciences

Cooperative hunting in a predator-prey system with Allee effects in the prey

Sophia R. -J. Jang et al.

NATURAL RESOURCE MODELING (2018)

添加到收藏夹

Article Biology

Hunting cooperation and Allee effects in predators

Mickael Teixeira Alves et al.

JOURNAL OF THEORETICAL BIOLOGY (2017)

添加到收藏夹

Article Mathematics, Applied

NEIMARK-SACKER BIFURCATIONS IN A HOST-PARASITOID SYSTEM WITH A HOST REFUGE

Yunshyong Chow et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2016)

添加到收藏夹

Article Mathematics, Applied

HOST DEMOGRAPHIC ALLEE EFFECT, FATAL DISEASE, AND MIGRATION: PERSISTENCE OR EXTINCTION

Avner Friedman et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2012)

添加到收藏夹

Article Mathematics, Applied

Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge

Lili Ji et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2010)

添加到收藏夹

Article Mathematics, Applied

ROLE OF PREY DISPERSAL AND REFUGES ON PREDATOR-PREY DYNAMICS

Faina S. Berezovskaya et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2010)

添加到收藏夹

Article Mathematics, Applied

Asynchronous and synchronous dispersals in spatially discrete population models

Abdul-Aziz Yakubu

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2008)

添加到收藏夹

Article Mathematics, Applied

Allee effects in a discrete-time SIS epidemic model with infected newborns

Abdul-Aziz Yakubu

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2007)

添加到收藏夹

Article Biochemistry & Molecular Biology

Interspecific communicative and coordinated hunting between groupers and giant moray eels in the Red Sea

Redouan Bshary et al.

PLOS BIOLOGY (2006)

添加到收藏夹

Article Mathematics, Applied

Stability analysis of a prey-predator model with holling type III response function incorporating a prey refuge

Yunjin Huang et al.

APPLIED MATHEMATICS AND COMPUTATION (2006)

添加到收藏夹

Article Ecology

The refuge as an integrating concept in ecology and evolution

Alan A. Berryman et al.

OIKOS (2006)

添加到收藏夹

Article Mathematics, Applied

Open problems and conjectures basins of attraction of stable cycles

S Elaydi et al.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2002)

添加到收藏夹

Article Mathematics, Applied

Searching predator and prey dominance in discrete predator-prey systems with dispersion

AA Yakubu

SIAM JOURNAL ON APPLIED MATHEMATICS (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.