Abstract
In this study, a predator-prey model (PPMD) was formulated and studied along with infectious on populations of prey and predator, since each one is splited into two sub-populations i.e., healthy and infected. It is presumed that only healthy predator of ability to predate the healthy prey and consume both healthy and prey being infected. Mathematically, the model solutions uniqueness, existence, and boundedness are conversed. All probable equilibrium model points are defined. The stability analyses as local and the regions of worldwide stability of each point of equilibriums are inspected. Lastly, few simulations as numerical were offered for validation the geted results theoretically.
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