4.7 Article

COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study

Zaibunnisa Memon et al.

Summary: The COVID-19 pandemic has led to significant changes in people's lifestyles worldwide. Experts from various fields and governments have implemented strategies such as mathematical modeling, lockdowns, face masks, isolation, and quarantine to control the spread of the virus. By analyzing data and using mathematical models, the most effective epidemic control measures can be identified and their impact can be evaluated through simulations.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Applied

Significance of additional food to mutually interfering predator under herd behavior of prey on the stability of a spatio-temporal system

Arthita Batabyal et al.

Summary: This paper presents a predator-prey model in temporal and spatio-temporal contexts, investigating the stability of equilibrium points, persistence conditions, global stability, extinction criteria, and Turing instability. The study also discusses the structural interpretation of Turing patterns and diffusion of dynamical systems in spatial domains. The theoretical analysis is supported by numerical simulations, providing insights into group defense of prey and additional food for predators in ecosystems.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

Article Computer Science, Information Systems

Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator

Olumuyiwa J. Peter et al.

Summary: A mathematical model was proposed to investigate the transmission and control mechanisms of COVID-19 in the community of Nigeria, using stability theory of differential equations. The study examined the qualitative behavior of the model and determined stability conditions for disease-free and pandemic equilibrium. Through numerical simulations and theoretical analysis, the impacts of various biological parameters on transmission dynamics were explored to identify significant strategies for disease control.

CMC-COMPUTERS MATERIALS & CONTINUA (2021)

Article Medicine, General & Internal

Early Transmission Dynamics in Wuhan, China, of Novel Coronavirus-Infected Pneumonia

Qun Li et al.

NEW ENGLAND JOURNAL OF MEDICINE (2020)

Article Physics, Multidisciplinary

The fractional features of a harmonic oscillator with position-dependent mass

Dumitru Baleanu et al.

COMMUNICATIONS IN THEORETICAL PHYSICS (2020)

Article Infectious Diseases

Early dynamics of transmission and control of COVID-19: a mathematical modelling study

Adam J. Kucharski et al.

LANCET INFECTIOUS DISEASES (2020)

Article Mathematics, Interdisciplinary Applications

A new adaptive synchronization and hyperchaos control of a biological snap oscillator

Samaneh Sadat Sajjadi et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Computer Science, Interdisciplinary Applications

Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan

Sania Qureshi

MATHEMATICS AND COMPUTERS IN SIMULATION (2020)

Article Physics, Multidisciplinary

Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan

Parvaiz Ahmad Naik et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2020)

Article Mathematics

LAPLACE-CARSON INTEGRAL TRANSFORM FOR EXACT SOLUTIONS OF NON-INTEGER ORDER INITIAL VALUE PROBLEMS WITH CAPUTO OPERATOR

Prem Kumar et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS (2020)

Article Engineering, Multidisciplinary

Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus

Dumitru Baleanu et al.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES (2020)

Article Engineering, Mechanical

Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates

Ranjit Kumar Upadhyay et al.

NONLINEAR DYNAMICS (2019)

Article Biochemical Research Methods

Projecting social contact matrices in 152 countries using contact surveys and demographic data

Kiesha Prem et al.

PLOS COMPUTATIONAL BIOLOGY (2017)

Article Mathematical & Computational Biology

A SEIR MODEL FOR CONTROL OF INFECTIOUS DISEASES WITH CONSTRAINTS

M. H. A. Biswas et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2014)

Article Mathematics, Applied

Spatial dynamics in a predator-prey model with herd behavior

Sanling Yuan et al.

CHAOS (2013)

Article Mathematical & Computational Biology

Global Stability Analysis of SEIR Model with Holling Type II Incidence Function

Mohammad A. Safi et al.

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2012)

Article Critical Care Medicine

The variability of critical care bed numbers in Europe

A. Rhodes et al.

INTENSIVE CARE MEDICINE (2012)

Article Mathematics, Applied

Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models

Jia-Fang Zhang et al.

APPLIED MATHEMATICS AND COMPUTATION (2011)

Article Physics, Condensed Matter

Oscillations in SIRS model with distributed delays

S. Goncalves et al.

EUROPEAN PHYSICAL JOURNAL B (2011)

Article Computer Science, Interdisciplinary Applications

Analysis and control of an SEIR epidemic system with nonlinear transmission rate

Na Yi et al.

MATHEMATICAL AND COMPUTER MODELLING (2009)

Article Physics, Multidisciplinary

Pattern formation induced by cross-diffusion in a predator–prey system

Sun Gui-Quan et al.

Chinese Physics B (2008)

Article Medicine, General & Internal

Social contacts and mixing patterns relevant to the spread of infectious diseases

Joeel Mossong et al.

PLOS MEDICINE (2008)

Article Mathematics, Applied

On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay

FD Chen

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2005)

Review Mathematics, Applied

The mathematics of infectious diseases

HW Hethcote

SIAM REVIEW (2000)