IJPAM: Volume 102, No. 3 (2015)

A STAGE STRUCTURED ECO-EPIDEMIOLOGICAL MODEL
WITH DISEASE IN THE PREY AND IMPULSIVE EFFECTS

Shashi Kant$^1$, Vivek Kumar$^2$
$^{1,2}$Department of Applied Mathematics
Delhi Technological University
Delhi, 110042, INDIA


Abstract. This paper aims to develop a new type of stage-structured eco-epidemiological model with disease in the prey and impulsive effects. We are dealing the interaction among five type of populations viz. juvenile prey, adult prey, diseased prey, juvenile predator and adult predator. We proved positivity and boundedness of the system. Analysis in terms of global attractivity, uniform persistence has been carried out. Finally, a pest control strategy is proposed.

Received: January 10, 2015

AMS Subject Classification: 34XX, 34C23, 34C25, 34C28

Key Words and Phrases: stage-structured population, global attractivity, pest control strategy

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DOI: 10.12732/ijpam.v102i3.4 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: 2015
Volume: 102
Issue: 3
Pages: 447 - 472


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