Biswas, Santosh ; Chatterjee, Samrat ; Chattopadhyay, Joydev (2014) Cannibalism may control disease in predator population: result drawn from a model based study Mathematical Methods in the Applied Sciences, 38 (11). pp. 2272-2290. ISSN 01704214
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Official URL: http://doi.org/10.1002/mma.3220
Related URL: http://dx.doi.org/10.1002/mma.3220
Abstract
In the present study, we propose and analyze a predator–prey system with disease in the predator population. To understand the role of cannibalism, we modify the model considering predator population is of cannibalistic type. Local and global stability around the biologically feasible equilibria are studied. The conditions for the persistence of the system are worked out. We also analyze and compare the community structure of the model systems with the help of ecological and disease basic reproduction numbers. Finally, through numerical simulation, we observe that inclusion of cannibalism in predator population may control the disease transmission in the susceptible predator population.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to John Wiley & Sons, Ltd |
| ID Code: | 132279 |
| Deposited On: | 15 Dec 2022 05:08 |
| Last Modified: | 15 Dec 2022 05:08 |
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