A mathematical study of diseased predators in prey predator models, taking into account the influence of toxicants on the models

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Dr. Uday Raj Singh, Satendra Kumar Suman


In order to investigate the effects of the toxicant on the Lotka-Volterra prey-predator system, a mathematical model has been created. Our working hypothesis was that the populations are composed of three distinct parts: prey, healthy predators, and sick predators. We have obtained all of the equilibriums that are even remotely possible with this model, and we have also established the prerequisites for the presence of an inner equilibria point. We investigated the presence of all equilibrium points as well as their local stability. The findings are weighed against the scenario in which the environmental toxicant was not present. In the final step, analytical results are put through their numerical paces for verification.

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