Deterministic and Stochastic Holling-Tanner Prey-Predator Models

Authors

  • Bharat Bahadur Thapa Cosmos College of Management and Technology, Lalitpur, Nepal
  • Samir Shrestha Kathmandu University, Kavre, Nepal
  • Dil Bahadur Gurung Kathmandu University, Kavre, Nepal

DOI:

https://doi.org/10.3126/aet.v1i1.39604

Keywords:

Holling-Tanner model, Prey, Predator, Stability analysis, Brownian motion

Abstract

A modified version of the so called Holling-Tanner prey-predator models with prey dependent functional response is introduced. We improved some new results on Holling-Tanner model from Lotka-Volterra model on real ecological systems and studied the stability of this model in the deterministic and stochastic environments. The study was focused on three types of stability, namely, stable node, spiral node, and center. The numerical schemes are employed to get the approximated solutions of the differential equations. We have used Euler scheme to solve the deterministic prey-predator model and we used Euler-Maruyama scheme to solve stochastic prey-predator model.

Downloads

Download data is not yet available.
Abstract
281
PDF
245

Author Biographies

Bharat Bahadur Thapa, Cosmos College of Management and Technology, Lalitpur, Nepal

Department of Science and Humanities

Samir Shrestha, Kathmandu University, Kavre, Nepal

Department of Mathematics

Dil Bahadur Gurung, Kathmandu University, Kavre, Nepal

Department of Mathematics

Downloads

Published

2021-09-10

How to Cite

Thapa, B. B., Shrestha, S., & Gurung, D. B. (2021). Deterministic and Stochastic Holling-Tanner Prey-Predator Models. Advances in Engineering and Technology: An International Journal, 1(1), 1–8. https://doi.org/10.3126/aet.v1i1.39604

Issue

Vol. 1 No. 1 (2021)

Section

Articles

License

All the materials published in the journal are freely accessible to all. Reproduction of the part or entire content is allowed only when written consent from the publisher is obtained. Citation should be provided while reusing the contents. Furthermore, one can reproduce and distribute the published contents for non-for-profit educational purpose.