IJPAM: Volume 70, No. 7 (2011)
IVLEV FUNCTIONAL RESPONSE AND
School of Mathematics and Computer Science
Shanxi Normal University
Shanxi, Linfen, 041004, P.R. CHINA
Abstract. In this paper,an impulsive predator-prey model with disease in the predator is investigated for the purpose of integrated pest management. We consider an Ivlev-type functional response and assume that the periods of releasing natural enemies and spraying pesticide are different. We get the sufficient conditions for the local asymptotic stability of pest-eradication periodic solution by applying the Floquet theorem. We also get the sufficient condition for the permanence of the system, which means if the releasing amount of natural enemies and the spraying amount of pesticide satisfy the condition, then the prey and the predator will coexist.
Received: March 7, 2011
AMS Subject Classification: 34K45, 49N25
Key Words and Phrases: eco-epidemiological model, stability, impulsive, permanent, local asymptotic stability
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395