Abstract : When one or both predator and prey populations are afflicted by disease, it is especially important to understand the dynamics of predator-prey interactions in ecosystems increasingly affected by anthropogenic pollution. To better understand the intricate relationship between ecological and environmental aspects, this abstract proposes a theoretical framework for a sick prey-predator model in a polluted environment. Our model takes into account the interplay between prey, predator, and disease dynamics. The assumption is made that a contaminant has an influence on prey populations, either directly or indirectly. Diseases can spread between populations when predators and their prey come into contact with one another. Rates of predation, disease transmission, pollution exposure, and survival are all represented by factors we include. Our model's results show that pollution can alter the dynamics between prey and predator, leaving the system more vulnerable to disease outbreaks. Oscillations, extinction events, and changes in disease incidence are just a few examples of the complex and non-intuitive ecological patterns that can emerge when these elements interact. Because of their domino effect on ecosystems, environmental degradation and disease dynamics in the context of predator-prey interactions are highlighted in this study. To evaluate and lessen the effects of pollution on natural ecosystems, it is essential to conduct extensive ecological and environmental monitoring. Finally, in ecosystems where pollution constraints are increasing, understanding the dynamics of a diseased prey-predator relationship is critical for creating effective conservation and management solutions. This study offers important insights for sustainable ecosystem management and conservation by adding to our knowledge of how ecological systems react to anthropogenic perturbations.
Keywords : Local Stability, Equilibrium points, Lotka-Volterra predator-prey model, Routh and Hurwitz criteria
Cite : Singh, U. R., & Suman, S. K. (2024). Stability Analysis Of Diseased Prey-Predator Model In A Polluted Environment (1st ed., pp. 80-89). Noble Science Press. https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-08
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