# Title

QUALITATIVE ANALYSIS AND HOMOTOPY BASED
SOLUTION OF TWO SPECIES LOTKA-VOLTERRA MODEL

# Authors

E.A. Bakare, S. Chakraverty, O.E. Abolarin
Department of Mathematics
Federal University Oye Ekiti
Ekiti State, NIGERIA
Department of Mathematics
National Institute of Technology Rourkela
Odisha-769 008, INDIA

# Abstract

This paper presents a qualitative analysis and homotopy based solution of predator-prey Lotka-Volterra model. We established a mathematical model that shows the dynamics of a multi-species predator-prey interactions. Qualitative analysis and some qualitative information about the solution of the model have been carried out. The Homotopy Analysis Method (HAM) has been used to solve the model and the results have been compared with other numerical solution and are found to be in good agreement. Finally, various simulations are done to discuss the solution.

# History

Revised: June 21, 2018
Published: June 23, 2018

# AMS Classification, Key Words

AMS Subject Classification: 92B05, 92D25, 92D30, 93D05, 34K20, 34K25
Key Words and Phrases: epidemic, homotopy analysis method, equilibrium, predator-prey

## Bibliography

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# How to Cite?

DOI: 10.12732/ijpam.v119i2.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 2
Pages: 261 - 280