Work place: Department of Mathematics, Chaitanya Degee College, Hanamkonda, A.P., India
E-mail: sumathi_prasad73@yahoo.com
Website:
Research Interests: Computational Mathematics, Mathematics
Biography
Hari Prasad: He works as an Assistant Professor, Department of Mathematics, Chaitanya Degree and PG College (Autonomous), Hanamkonda, Andhra Pradesh, India. He has obtained M.Phil in Mathematics. He has submitted Ph.D. thesis for the award of Doctorate degree by the Dravidian University, Kuppam. His research papers in area of Applied Mathematics are more than 30 were published in various esteemed National and International Journals. He has zeal to find out new vistas in Mathematics.
DOI: https://doi.org/10.5815/ijmecs.2014.11.05, Pub. Date: 8 Nov. 2014
In this paper, the system comprises of a commensal (S1), two hosts S2 and S3 ie., S2 and S3 both benefit S1, without getting themselves effected either positively or adversely. Further S2 is a commensal of S3, S3 is a host of both S1, S2 and all the three species have limited resources. The basic equations for this model constitute as three first order non-linear ordinary difference equations. All possible equilibrium points are identified based on the model equations and criteria for their stability are discussed. Further the numerical solutions are computed for specific values of the various parameters and the initial conditions.
[...] Read more.By B. Hari Prasad N. Ch. Pattabhi Ramacharyulu
DOI: https://doi.org/10.5815/ijmecs.2012.08.06, Pub. Date: 8 Aug. 2012
This paper deals with an investigation on discrete model of host commensal pair. The model comprises of a commensal (S1), a host (S2) that benefit S1, without getting effected either positively or adversely. The model is characterized by a couple of first order non-linear ordinary differential equations. In all, four equilibrium points of the model would exist and their stability criteria is discussed. The model would be stable if each of the eigen values is numerically less than one. Further the growth rates of the species are numerically estimated using Runge-Kutta fourth order scheme.
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