STABILITY AND HOPF BIFURCATION FOR AN ECO-EPIDEMIOLOGY MODEL WITH HOLLING-III FUNCTIONAL RESPONSE AND DELAYS

DOI10.1142/S179352450800031XzbMath1166.34050MaRDI QIDQ3608702

Jie Hua Xie, Wei Zou, Zuoliang Xiong

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

global stabilityHopf bifurcationpredator-prey model

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) 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)

Related Items (3)

Dynamic analysis of a stage-structured predator–prey system with disturbed time delay and birth pulse ⋮ ROLE OF DISEASE PROPAGATION IN MIGRATORY BIRD POPULATION ⋮ A delayed Holling type III functional response predator-prey system with impulsive perturbation on the prey

Cites Work

• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• The trade-off between mutual interference and time lags in predator-prey systems
• Stability and Hopf bifurcation for an epidemic disease model with delay
• Stability and Hopf bifurcation for a delay competition diffusion system.
• The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays
• Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
• Modeling and analysis of a predator-prey model with disease in the prey

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