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Dynamics of Infectious Diseases in Predator-Prey Populations: A Stochastic Model, Sustainability, and Invariant Measure

Dynamics of Infectious Diseases in Predator-Prey Populations: A Stochastic Model, Sustainability, and Invariant Measure

This paper introduces an innovative model for infectious diseases in predator-prey populations. We not only prove the existence of global non-negative solutions but also establish essential criteria for the system’s decline and sustainability. Furthermore, we demonstrate the presence of a Borel invariant measure, adding a new dimension to our understanding …