Abstract
In this paper, a prey–predator model has been developed in order to study the concurrent effect of contamination and impact of disease in interacting species. Hence, the model influenced by contaminants, with infection in prey species, is proposed, where predator catches infective as well as susceptible prey. Boundedness and presence of all equilibria have been established. Also, the conditions for both local and global stability of the model have been developed. We also developed the optimal control issue by picking the control variable and gave the optimal harvesting approach of system by applying Pontryagin’s maximum principle. Finally, numerical simulations along with graphical illustration have been performed to support our analytic outcomes.
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Arya, N., Bhatia, S.K., Chauhan, S., Sharma, P. (2020). Dynamic Analysis of Prey–Predator Model with Harvesting Prey Under the Effect of Pollution and Disease in Prey Species. In: Kapur, P.K., Singh, O., Khatri, S.K., Verma, A.K. (eds) Strategic System Assurance and Business Analytics. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-15-3647-2_27
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