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Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

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  • Jing Hui
  • Jian-Hua Pang
  • Dong-Rong Lin

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.

Suggested Citation

  • Jing Hui & Jian-Hua Pang & Dong-Rong Lin, 2014. "Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, August.
    • Handle: RePEc:hin:jnlmpe:810312
    DOI: 10.1155/2014/810312
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