Global stability and Hopf bifurcation of a delayed eco-epidemiological model with Holling type II functional response

DOI10.1002/MMA.3381zbMath1337.34084OpenAlexW2136874858MaRDI QIDQ2795440

Rui Xu, Xiaohong Tian

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3381

zbMATH Keywords

delayglobal stabilityHopf bifurcationeco-epidemiological modelHolling type II functional responseLaSalle's invariance principle

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Ecology (92D40) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Periodic Solutions of an Infected-Age Structured HIV Model with the Latent Factor and Different Transmission Modes ⋮ Periodic Solutions of a Delayed Eco-Epidemiological Model with Infection-Age Structure and Holling Type II Functional Response

Cites Work

• Modelling and analysis of a delayed predator-prey model with disease in the predator
• Effect of delay in a Lotka-Volterra type predator-prey model with a transmissible disease in the predator species
• Delay differential equations: with applications in population dynamics
• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• The role of transmissible diseases in the Holling-Tanner predator-prey model
• A predator-prey model with disease in the predator species only
• Theory of functional differential equations. 2nd ed
• A Leslie-Gower Holling-type II ecoepidemic model
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Dynamics of a predator-prey model with disease in the predator
• A predator-prey model with disease in the prey
• Global Dynamics of a Predator-Prey Model with Stage Structure for the Predator
• An ecoepidemiological model with disease in predator: the ratio‐dependent case
• Analysis of a three species eco-epidemiological model
• Modeling and analysis of a predator-prey model with disease in the prey

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