1. AN ECO-EPIDEMIOLOGICAL MODEL WITH INFECTIOUS DISEASE IN FOOD CHAIN.
- Author
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CHEN, YONGXUE and JIANG, YONG
- Subjects
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COMMUNICABLE diseases , *EPIDEMIOLOGY , *PREDATION , *FOOD chains , *TIME delay systems , *MATHEMATICAL models in medicine , *DELAY differential equations , *BIFURCATION theory - Abstract
In this paper, a model of predator-prey with disease in food chain is investigated - where, prey is infected by bacteria and then the infected prey in turn infects predator, but the disease does not spread among predators. The law for disease development and biodiversity conservation are the focus. Stability and persistence are deduced in terms of system parameters. Next, time required delay is incorporated into the model. Stability and bifurcation analysis of the delay differential equation model are carried out. Furthermore, stability and direction of the bifurcating periodic solutions are performed by the normal form theory and the center manifold argument. Finally, numerical simulations are included for illustrating the theoretical analysis. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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