Modeling and stability analysis
of two mutually interacting species
B. Ravindra Reddy1, N.
Phani Kumar2, C.Srinivasa Kumar3 and N. Ch. Pattabhiramacharyulu4
1JNTUH College of Engineering, Nachupally (Kondagattu), Karimnagar-505501, India. firstname.lastname@example.org
2Faculty in Mathematics, Malla Reddy Engineering College, Secunderabad, India, email@example.com
3Gopal Reddy College of Engineering & Technology,Pedakangarla (V), Patancheru (M), Medak (Dt) – 502319, A.P, India,
4 Ex faculty, Department of Mathematics, NIT, Warangal– 506004, India.firstname.lastname@example.org
The present paper concerns with a model of two mutually interacting species with limited resources for first species and unlimited resources for second species. The model is characterized by a coupled system of first order non-linear ordinary differential equations. In all two equilibrium points are identified. If the death rate of the second species is greater than its birth rate, it is found that there are three equilibrium points. The criteria for asymptotic stability have been established for all the equilibrium points. The co-existent state is always stable. The solutions of the linearised basic equations are obtained and their trends are illustrated
Key words: Equilibrium points, Mutualism, Coexistence state, Stability.
International eJournal of Mathematics and Engineering
Volume 2, Issue 1, Pages: 818 - 825