Mathematical Modelling of Prey-Predator Poaching Dynamics Using a Lomax Function for Prey Species Growth
DOI:
https://doi.org/10.63561/jmns.v2i3.864Keywords:
Lomax Distribution Function, Optimal Exertion, Refuge, EnvironmentAbstract
In this paper, a Mathematical model of Prey and Predator involving Lomax distribution function is proposed and analyzed. The Lomax distribution function which is composed of exponential and gamma functions was applied on the prey growth in the absence of predator while the predator growth is logistically. The existence and the stability analysis of all possible equilibrium points are studied using the Jacobean matrix. Then, the optimal exertion is obtained by the minimization of both the prey species and predator species dynamics with respect to the exertions during the poaching process
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