The Dynamics of Prey-Predator Model with Optimal Harvesting Policy

GHUSOON Mohameed

doi:10.24237/

Authors

GHUSOON Mohameed diyala university https://orcid.org/0009-0009-3594-7193

DOI:

https://doi.org/10.24237/

Abstract

This study explores the dynamics of a prey-predator model under the influence of optimal harvesting strategies, using MATLAB simulations to illustrate the complex interrelationships and population fluctuations over time. Drawing on established mathematical models, the research incorporates elements of both ecological balance and economic considerations into the prey-predator interactions. The simulations produce a series of plots: temporal dynamics of prey and predator populations, phase plots of their interaction, harvesting rates against population sizes, and a comprehensive 3D representation of the system over time. These results are discussed in the context of current scholarly research, emphasizing the nuances of ecological management and sustainability. The findings highlight the importance of tailored harvesting strategies, the impact of ecological factors such as toxicity and group defense in prey, and the need for adaptive management in the face of environmental stochasticity. The study contributes to the field by providing a visual and analytical framework for understanding and managing wildlife populations, balancing ecological integrity with economic viability

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