Bifurcation of an eco-epidemiological model with a nonlinear incidence rate

DOI10.1016/j.amc.2011.07.050zbMath1228.92075OpenAlexW1987377025MaRDI QIDQ654719

Xuanliang Liu

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.050

zbMATH Keywords

limit cycleHopf bifurcationpredator-prey systemBogdanov-Takens bifurcation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Switching from simple to complex dynamics in a predator-prey-parasite model: an interplay between infection rate and incubation delay ⋮ Analysis of an ecoepidemiological model with prey refuges ⋮ Dynamical behavior of a generalized eco-epidemiological system with prey refuge ⋮ Complexity in a predator-prey-parasite model with nonlinear incidence rate and incubation delay ⋮ Analytical approximation of cuspidal loops using a nonlinear time transformation method

Cites Work

• Predator-prey populations with parasitic infection
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Four predator prey models with infectious diseases
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• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• The Mathematics of Infectious Diseases
• A predator-prey model with disease in the prey
• Analysis of a three species eco-epidemiological model
• Elements of applied bifurcation theory
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