Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population | Zendy

Ruiqing Shi | Zendy; Sanyi Tang | Zendy; Wenli Feng | Zendy

Open Access

Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population

Author(s) -

Ruiqing Shi,

Sanyi Tang,

Wenli Feng

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/424723

Subject(s) - predation , predator , pest analysis , mathematics , population , integrated pest management , ecology , biological pest control , biology , demography , botany , sociology

Stage-structured predator-prey models with disease in the prey are constructed. For the purpose of integrated pest management, two types of impulsive control strategies (impulsive release of infective prey and impulsive release of predator) are used. For Case 1, infective prey applications are more frequent than releases of predator (natural enemies). For Case 2, predator (natural enemies) releases are more frequent than infective prey applications. In both cases, we get the sufficient conditions for the global attractivity of the susceptible prey-eradication periodic solution. In addition, the persistence of the systems is also discussed. At last, the results are discussed and some possible future work is put forward

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