Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System
| Autor: | Jing Hui, Jian-Hua Pang, Dong-Rong Lin |
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| Rok vydání: | 2014 |
| Předmět: |
Hopf bifurcation
Article Subject lcsh:Mathematics General Mathematics General Engineering Orbital stability lcsh:QA1-939 Dynamical system Stability (probability) symbols.namesake Nonlinear Sciences::Adaptation and Self-Organizing Systems lcsh:TA1-2040 Control theory Limit cycle behavior and behavior mechanisms symbols Quantitative Biology::Populations and Evolution Applied mathematics lcsh:Engineering (General). Civil engineering (General) Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2014 (2014) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2014/810312 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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