Chaos and Bifurcation Analysis of Plant-Herbivore System with Intra-Specific Competitions
- Department of Mathematics, D.R.B.C.C.C. Hindu College, Chennai- 600 072 and Research Scholar, PG Department of Mathematics, Sri Subramaniya Swamy Government Arts College, Tiruttani – 631 209.
- PG Department of Mathematics, Sri Subramaniya Swamy Government Arts College, Tiruttani – 631 209.
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Abstract
We formulate a simple plant-herbivore type model to study the interaction of certain plants and herbivores. In this paper, a discrete-time plant-herbivore model with intra specific competitions is proposed. Nicholson Bailey model with Hassel’s function is applied to know the plant-herbivore dynamical system. Stability natures of the fixed points of the model were determined analytically. Bifurcation diagrams were obtained, which exhibits the coexistence of stability of the system.
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Sahaya jothi S., Gunasekaran. M. (2015); Chaos and Bifurcation Analysis of Plant-Herbivore System with Intra-Specific Competitions, International Journal of Advanced Research (IJAR), 3 (08), 1359-1363, ISSN 2320-5407.
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