Stability Analysis of a Nonlinear System with Different Growth Functions

Authors

  • Md Kamrujjaman Department of Mathematics, University of Dhaka, Dhaka-1000
  • Ashrafi Meher Niger Department of Mathematics, University of Dhaka, Dhaka-1000

DOI:

https://doi.org/10.3329/ganit.v37i0.35730

Keywords:

Equilibria, competition, phase portrait, coexistence

Abstract

A competitive mathematical model for the growth of two species is considered in this study. The main goal of the present study is to investigate the roles of two different growth functions: the logistic growth and the food limited growth. We established the main results that determine the asymptotic stability of semi-trivial as well as the coexistence solutions. If higher carrying capacity is embodied for the population following logistic growth then competitive exclusion of a food limited population is imminent and vice versa.

GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 111-119

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Published

2018-02-20

How to Cite

Kamrujjaman, M., & Niger, A. M. (2018). Stability Analysis of a Nonlinear System with Different Growth Functions. GANIT: Journal of Bangladesh Mathematical Society, 37, 111–119. https://doi.org/10.3329/ganit.v37i0.35730

Issue

Vol. 37 (2017)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)