Abstract
The present paper deals with analytical investigations of a three species model in an ecosystem involving mutualistic interactions. The model is characterized by a system of first order non-linear ordinary differential equations. We investigate three cases: (1) The death rate of any one (say third) species is greater than its birth rate. (2) The death rate of any two (say second and third) species are greater than their birth rate. (3) The death rate of all the species are greater than their birth rate. Further, we establish all the equilibrium points and stability criteria for the model.
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Dhakne, M.B., Munde, A.B. Stability Analysis of Mutualistic Interactions Among Three Species with Limited Resources for First Species and Unlimited Resources for Second and Third Species. Differ Equ Dyn Syst 20, 405–414 (2012). https://doi.org/10.1007/s12591-012-0120-z
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DOI: https://doi.org/10.1007/s12591-012-0120-z