Qualitative and Quantitative Approaches in Dynamics of Two Different Prey-Predator Systems
Sujatha K1, Gunasekaran M2
1Sujatha K, Department of Mathematics, Meenakshi College for Women (Autonomous), Chennai.
2Gunasekaran M, PG Department of Mathematics, Sri Subramaniya Swami Government Arts College, Tiruttani.
Manuscript received on February 17, 2015. | Revised Manuscript received on February 28, 2015. | Manuscript published on March 05, 2015. | PP: 76-80 | Volume-5 Issue-1, March 2015. | Retrieval Number: A2533035115/2015©BEIESP
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©The Authors. Published By: 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: This paper describes the dynamical behavior of two different systems consisting of two preys and a predator. It also deals with the stability of tri-species community in the systems by means of both qualitative and quantitative approaches. The existence and local stability of the equilibrium points of the systems were analyzed. Harvesting activity in both prey and predator populations plays a significant role in controlling the spread of disease.
Keywords: Prey-Predator system, Qualitative stability, Iteration matrix, Quantitative stability, Harvesting Activity.