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

Rajan K Sharma¹, Shyam Sundar^2, and D. Kandu³

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

Cite this paper

Rajan K Sharma, Shyam Sundar and 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

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

aphid population, environment, limited resources, Voltra model, n-Species, competition

Copyright

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