A Study on Discrete Model of Three Species Syn-Eco-System with Unlimited
Resources for the First Species
1B. Hari Prasad, 2 K.Sandhya
Rani and 3P. S. Rama Chandra Rao
1Department of Mathematics, Chaitanya Degree College
(Autonomous), Hanamkonda, Warangal, Telangana-506
001, India. e-mail: firstname.lastname@example.org
2Department of Mathematics, S.V.S.Group
of Institutions,Bheemaram, Hanamkonda, Telangana State, India.
of Mathematics. Kakatiya Institute of Technology &
Science, Warangal, Telangana-506015, India.
In this paper, the three
species syn eco-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 the first species has unlimited resources. The basic
equations for this model constitute as three
first order non-linear coupled ordinary difference equations. All possible
equilibrium points are identified based on the model equations at two stages
and criteria for their stability are discussed.
Further the numerical solutions are computed for specific values of the
various parameters and the initial conditions.
Keywords: Commensal, equilibrium state, host, stable, oscillatory.
Mathematics Subject Classification: 92D25, 92D40