A Mathematical Model to Study Stability of Biological Interaction: Competition

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-47 Number-3
Year of Publication : 2017
Authors : Nabajyoti Bhattacharjee, Gaurav Goswami
  10.14445/22315373/IJMTT-V47P528

MLA

Nabajyoti Bhattacharjee, Gaurav Goswami "A Mathematical Model to Study Stability of Biological Interaction: Competition", International Journal of Mathematics Trends and Technology (IJMTT). V47(3):215-220 July 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper we shall construct a mathematical model to study the impact of competition on the growth of two species in a given geographical re- gion and for a given interval of time. In our paper we shall also discuss the stability of autonomous dynamical system representing the growth of two species and study the relation between the pop- ulation density of competitively superior species and competitively inferior species competing for the same resource in a given region and in a given interval of time.

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Keywords
Autonomous system, Biological interac- tion, Competition, Competition parameter, Asymptotically stable, stable, unstable.