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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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
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.
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.
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