Dynamics of Strong Prey and Weak Predator with Hvrvesting of Prey
G A L Satyavathi1, Paparao. A.V2, K. Sobhan Babu3

1G A L Satyavathi, Department of Mathematics, Aditya College of Engineering Surampalem Egdt, India.
2Paparao. A.V, Department of Mathematics, JNTUK, UCE Vizianagaram (Andhra Pradesh), India.
3K. Sobhan Babu, Department of Mathematics, JNTUK, UCE Narsaraopeta (Andhra Pradesh), India.
Manuscript received on 13 May 2019 | Revised Manuscript received on 19 May 2019 | Manuscript Published on 23 May 2019 | PP: 1965-1972 | Volume-7 Issue-6S5 April 2019 | Retrieval Number: F13530476S519/2019©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: In the paper we tend to investigate the harvesting effort of prey species in prey predator model with a strong Prey ( N1 ),and a weak Predators ( N2 ). The system is delineated by a system of ordinary differential equations. The Four equilibrium points are known. Local stability analysis is mentioned at every equilibrium points. Global stability is studied by constructing appropriate Lyapunov’s function. Additional Numerical simulation is performed and known the parameters for the system that becomes stable and unstable. Further the results are compared with harvesting effort and while not effort on the prey species. The Harvesting efforts of the prey species with catch ability constant and effort are known that unstable system becomes stable therefore the harvesting effort stabilizes the system.
Keywords: Prey, Predator, Harvesting, Equilibrium Points, Local stability, Global Stability. Mathematics Classification: 34-XX.
Scope of the Article: Cryptography and Applied Mathematics