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Oukouomi Noutchie SC
Oukouomi Noutchie SC

Public Documents 1
Predator-Prey Model with Sickness in Prey, Control Variables, and Logarithmic Penalty...
Oukouomi Noutchie SC

Oukouomi Noutchie SC

September 04, 2024
javascript:void(0) This study presents a novel predator-prey model that integrates disease dynamics within the prey population, using a Susceptible-Infected (SI) framework. The model introduces two control variables: one aimed at reducing disease transmission among prey and another focused on managing predator population levels. A logarithmic penalty cost function is employed to penalize reductions in prey and predator populations, reflecting the heightened ecological risks associated with low population sizes. The system is described by a set of differential equations that model the interactions between susceptible prey, infected prey, and predators under the influence of these control measures. The goal is to minimize the cost function over a specified time horizon, ensuring ecosystem stability while effectively managing disease spread and predator numbers. Our results provide insights into optimal control strategies that maintain ecological balance, offering a framework applicable to real-world wildlife management and conservation scenarios.

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