The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate

In this paper, the general framework for calculating stability of equilibria, Hopf bifurcation a delayed prey-predator system with an SI type disease in prey population, is investigated. The impact incubation period delay on transmission utilizing nonlinear incidence rate was taken into account. For purpose explaining predation process, modified Holling II functional response used. First, existence, uniform boundedness, and positivity solutions considered model system, along behavior equilibria existence bifurcation, are studied. critical values parameter which switches nature by using normal form theory center manifold theorem identified. Additionally, numerical simulations hypothetical dataset, various dynamic characteristics discovered, including switches, chaos, scenarios.