Das, Krishna Pada ; Samanta, Sudip ; Biswas, Santosh ; Alshomrani, Ali Saleh ; Chattopadhyay, Joydev (2017) A strategy for a disease-free system- an eco-epidemiological model based study Journal of Applied Mathematics and Computing, 55 (1-2). pp. 563-590. ISSN 1598-5865
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Official URL: http://doi.org/10.1007/s12190-016-1050-7
Related URL: http://dx.doi.org/10.1007/s12190-016-1050-7
Abstract
The present paper deals with an eco-epidemiological model consisting of susceptible prey, infected prey and predator. We assume that the recruitment of prey follows the saturating functional form due to habitat saturation. We make a general assumption of the non-restricted conversion rate of the predator population due to consumption of the infected prey population. We study the existence and stability criteria of the equilibrium points. Our results suggest that the predator population may be eliminated from the system due to the negative effect of infected prey; however, the negative impact can be buffered by the alternative food. Alternative food helps predator population to survive and makes the system disease free. The outcomes from the model are verified numerically by taking a set of biologically feasible parameter values.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG |
| Keywords: | Eco-epidemiological model;Mild or severe infection;Saturating recruitment;Alternative food;Transcritical bifurcation;Global stability |
| ID Code: | 132209 |
| Deposited On: | 14 Dec 2022 10:10 |
| Last Modified: | 14 Dec 2022 10:10 |
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