Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method
American Journal of Applied Mathematics
Volume 2, Issue 5, October 2014, Pages: 149-154
Received: Aug. 22, 2014; Accepted: Sep. 9, 2014; Published: Sep. 20, 2014
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Authors
Vembu Ananthaswamy, Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India
Lucas Sahaya Amalraj, Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai District, Tamil Nadu, India
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Abstract
In this paper a mathematical commensal-host ecological model with replenishment rate for both species is discussed. This model is characterized by a pair of first order non-linear coupled differential equations. The non-linear coupled system-equations are solved analytically by using Homotopy perturbation method. Further, our results are compared with the previous work and a satisfactory agreement is noted.
Keywords
Mathematical Model, Commensal, Host, Replenishment Rate, Non-Linear Differential Equations, Homotopy Perturbation Method
To cite this article
Vembu Ananthaswamy, Lucas Sahaya Amalraj, Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method, American Journal of Applied Mathematics. Vol. 2, No. 5, 2014, pp. 149-154. doi: 10.11648/j.ajam.20140205.11
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