Mathematical Analysis of an Epidemic‐Species Hybrid Dynamical System

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,014 (issn: 1024-123X, eissn: 1563-5147,

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Authors: Hui, Jing; Pang, Jian-Hua; Lin, Dong-Rong;

doi: 10.1155/2014/810312

Mathematical Analysis of an Epidemic‐Species Hybrid Dynamical System

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Abstract

We consider an epidemic‐species hybrid dynamical system. The disease is spread among the prey only and the infected prey can reproduce virus. The predator only eats the infected prey. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf bifurcating limit cycle. We further analyse the system under impulsive releasing of virus and predator.

Related Organizations

Guangxi University of Science and Technology
China (People's Republic of)
Guangxi University
China (People's Republic of)

Keywords

Population dynamics (general), Dynamical systems in biology

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