Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

Jing Hui, Jian-Hua Pang and Dong-Rong Lin

Mathematical Problems in Engineering, 2014, vol. 2014, 1-11

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:810312

DOI: 10.1155/2014/810312

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