Stability Analysis of two Competitive
Interacting Species with Optimal and
Bionomic Harvesting of the Second Species

B. Ravindra Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V4I2P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 2 | Year 2013 | Article Id. IJMTT-V4I2P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I2P503

Stability Analysis of two Competitive Interacting Species with Optimal and Bionomic Harvesting of the Second Species

B. Ravindra Reddy

Citation :

B. Ravindra Reddy, "Stability Analysis of two Competitive Interacting Species with Optimal and Bionomic Harvesting of the Second Species," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 2, pp. 26-34, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I2P503

Abstract

This paper deals with two species competitive model with optimal harvesting of the second species under bionomic conditions. The model is characterized by a pair of first order non-linear ordinary differential equations. All the possible equilibrium points of the model are identified and the criteria for the local and global stabilities are discussed. The possibility of existence of bio economic equilibrium is being discussed and an optimal harvesting policy is given using Pontryagin’s maximum principle.

Keywords

rw-closed set, rw-continuous, rw-irresolute

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