Global Stability Analysis of a Three Species Ammensalism Model with Harvesting Affect

Authors

  • Kondala Rao K Department of Mathematics, Vidya Jyothi Institute of Technology, Aziz Nagar Gate, C. B. Post, Moinabad Mandal, Hyderabad-500035, Telanagana, India.
  • Lakshmi Narayan K Department of Mathematics, Vidya Jyothi Institute of Technology, Aziz Nagar Gate, C. B. Post, Moinabad Mandal, Hyderabad-500035, Telanagana, India.
  • G. Ranjith Kumar Department of Mathematics, Anurag University, Venkatapur, Ghatkeshar Road, Hyderabad-500088, Telangana, India.
  • K. Ramesh Department of Mathematics, Anurag University, Venkatapur, Ghatkeshar Road, Hyderabad-500088, Telangana, India.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v4/9095F

Keywords:

Ammensal, harvesting, interior equilibrium point, lyapunov’s function and routh - harwitz criteria

Abstract

The Present model is devoted to an analytical investigation of affect of Harvesting on three species syn-ecological model during which the species of 1st kind (N1) is ammensal on thespecies of 2nd kind (N2), the species of 2rd kind (N2) is on the species of 3rd kind (N3) and thespecies of 3rd kind (N3) is on the species of 1st kind (N1).Herespecies of 1st kind (N1) and species of 2nd kind (N2) are harvested at a rate proportional to their population sizes. Co-existing state is known and its native stability is mentioned. Solutions of linearized equation are applied. Further, with the help of suitable Lyapunov function global stability was discussed. In support of analytical results, numerical simulations were carried out using Mat Lab.

Published

2023-01-12

How to Cite

Kondala Rao K, Lakshmi Narayan K, G. Ranjith Kumar, & K. Ramesh. (2023). Global Stability Analysis of a Three Species Ammensalism Model with Harvesting Affect. Research Highlights in Mathematics and Computer Science Vol. 4, 122–133. https://doi.org/10.9734/bpi/rhmcs/v4/9095F

Issue

Research Highlights in Mathematics and Computer Science Vol. 4

Section

Chapters