Haque, Mainul ; Chattopadhyay, Joydev (2007) Role of transmissible disease in an infected prey-dependent predator - prey system Mathematical and Computer Modelling of Dynamical Systems, 13 (2). pp. 163-178. ISSN 1387-3954
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Official URL: http://www.informaworld.com/smpp/content~db=all~co...
Related URL: http://dx.doi.org/10.1080/13873950600682580
Abstract
The role of disease in ecological systems is a very important issue from both mathematical and ecological points of view. This paper deals with the qualitative analysis of a prey-dependent predator - prey system in which a disease is spreading among the prey species only. We have analysed the behaviour of the system around each equilibrium and obtained conditions for global stability of the system around an equilibrium by using suitable Lypunov functions. We have also worked out the region of parametric space under which the system enters a Hopf bifurcation and a transcritical bifurcation but does not experience either saddle-node bifurcations or pitchfork bifurcations around the disease-free equilibrium E. Finally, we have given an example of a real ecological situation with experimental data simulations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| Keywords: | Eco-epidemiology; Local Stability; Global Stability; Saddle-node Bifurcation; Transcritical Bifurcation; Pitchfork Bifurcation; Hopf Bifurcation |
| ID Code: | 7504 |
| Deposited On: | 25 Oct 2010 11:20 |
| Last Modified: | 29 Jan 2011 11:36 |
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