Article citationsMore >>

Kapur, J. N., Mathematical Modeling, Wiley Eastern Ltd., New Delhi, 1989.

has been cited by the following article:

Article

A Theoretical Analysis for n-species Competition for Aphid Population in Limited Resources: A Modeling Study

1Department of Mathematics, PSITCOE, Kanpur (U.P.), India

2Department of Mathematics, P S Institute of Technology, Kanpur (U.P.), India

3Department of Mathematics, M.M.M. Engineering College, Gorakhpur (U.P.), India


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 3, 157-159
DOI: 10.12691/ajams-2-3-10
Copyright © 2014 Science and Education Publishing

Cite this paper:
Rajan K Sharma, Shyam Sundar, D. Kandu. A Theoretical Analysis for n-species Competition for Aphid Population in Limited Resources: A Modeling Study. American Journal of Applied Mathematics and Statistics. 2014; 2(3):157-159. doi: 10.12691/ajams-2-3-10.

Correspondence to: Shyam  Sundar, Department of Mathematics, P S Institute of Technology, Kanpur (U.P.), India. Email: ssmishra_75@yahoo.co.in

Abstract

In this paper, we have discussed a mathematical model for the competition in n-species aphid population for a limited resource and their limiting behavior is studied as time approaches to infinity. Aphids are among the most conspicuous and important pests in green houses and crops. It is assumed that aphids excrete honeydew and cover an area by it’s saliva at time which then form a weak cover on the leaf surface preventing the individuals from further sucking and movement and therefore causing deaths due to starvation. It means that the mortality rate of aphids become very high in the environment by honeydew excretions of other aphids. Analytically, it has been shown that how aphid population grows with time .

Keywords