DYNAMICS OF EVOLUTION OF A PREDATOR-PREY SYSTEM SUBJECT TO CERTAIN ENVIRONMENTAL HARVESTING

Abstract

The development components of a discrete hunter-prey framework of the Lotka-Volterra type are considered with respect to the particular environmental conditions of the prey population and the assumption that the forcing predator dies after one generation. It is believed that the prey harvesting effect is the only factor influencing interactions between two populations, and that the generations involved do not overlap. This study examines three scenarios, zero harvesting, and two harvesting parameter numerical values. The system's fixed points are determined and their stability is thoroughly examined. A variety of periodic windows exhibiting multi-periodic orbits splitting into phenomena of period-doubling and chaos-adding, bi-stability, intermittency character, etc., are observed inside each of the complex bifurcation patterns observed for all the cases. These are in confirmation that the system under investigation is a complex system. Regular and chaotic results are obtained through numerical simulations, attractors, the calculation of attractors' Topological entropies and Lyapunov exponents are indicators of the complexity of the system. By expanding numerical calculations, the correlation dimensions of chaotic attractors were calculated. An intriguing graphic and a tabulated correlation dimension corroborate the findings of this investigation. The research conducted here has implications for both bioscience and the issues surrounding harvesting phenomena in the predator-prey relationship.