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Mathematical Study of Prey-Predator Model with Infection Predator and Intra-specific Competition

Ranjith Kumar G, B. Sitarambabu, Lakshmi Narayan K

Abstract



This paper concerns itself with the mathematical interpretation of an infectious disease prevalent in a predator and the attendant relationship between the prey and predator following the onset of the disease. The relationship is governed by Holling type-II functional response. The stability at two points-global and local features in a discussion of the static point; in addition to this, the paper takes a look at the properties of the model in stochastic terms with the help of Lyapunov function. The results of the analytical study find validation through numerical results achieved by simulation.

Keywords


Intra-Specific Competition, Global Stability, Stochastic Stability, Lyapunov function.

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