International Journal of Modern Education and Computer Science (IJMECS)
IJMECS Vol. 4, No. 8, 8 Aug. 2012
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Discrete Model of Commensalism Between Two Species
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Author(s)
Index Terms
Characteristic matrix, Commensal, Stable, Equilibrium point, Host
Abstract
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.
Cite This Paper
B. Hari Prasad, N. Ch. Pattabhi Ramacharyulu, "Discrete Model of Commensalism Between Two Species", International Journal of Modern Education and Computer Science(IJMECS), vol.4, no.8, pp.40-46, 2012. DOI:10.5815/ijmecs.2012.08.06
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