Biswas, Santosh ; Samanta, Sudip ; Khan, Qamar J. A. ; Chattopadhyay, Joydev (2017) Effect of multiple delays on the dynamics of cannibalistic prey–predator system with disease in both populations International Journal of Biomathematics, 10 (04). p. 1750049. ISSN 1793-5245
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Official URL: http://doi.org/10.1142/S1793524517500498
Related URL: http://dx.doi.org/10.1142/S1793524517500498
Abstract
In the present paper, we investigate a prey–predator system with disease in both prey and predator populations and the predator population is cannibalistic in nature. The model is extended by introducing incubation delays in disease transmission terms. Local stability analysis of the system around the biologically feasible equilibria is studied. The bifurcation analysis of the system around the interior equilibrium is also studied. The sufficient conditions for the permanence of the system are derived in the presence of delays. We observe that incubation delays have the ability to destabilize the cannibalistic prey–predator system. Finally, we perform numerical experiments to substantiate our analytical findings.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd |
| Keywords: | Cannibalism;disease transmission;incubation delay;persistence;Hopf bifurcation |
| ID Code: | 132228 |
| Deposited On: | 14 Dec 2022 10:34 |
| Last Modified: | 14 Dec 2022 10:34 |
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