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Mathematical Modelling of the Sterile Insect Technique Using Different Release Strategies

机译:Mathematical Modelling of the Sterile Insect Technique Using Different Release Strategies

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We study simple mathematical models for the dynamics of interactive wild and sterile insect populations. As well as being mathematically tractable, these models can be used as first approximations to real situations occurring with the Sterile Insect Technique (SIT) in which sterile males are released to reduce or eradicate a pest population. This is a method of biological control which can effectively help contain the spread of many pest insects such as the Red Palm Weevil (RPW). Models formulated in this paper are continuous-time, include a strong Allee effect that captures extinction events, and incorporate different strategies of releasing sterile insects. We perform basic studies of dynamical features of these models, with an emphasis on the condition of excitation, and the impact of the different release methods is investigated. Our findings are also demonstrated with some numerical examples.

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    Qassim Univ, Coll Sci & Arts Ar Rass, Phys Dept, POB 53, Ar Rass 51921, Saudi Arabia|Univ Tunis El Manar, Fac Sci Tunis, Nucl Phys & High Energy Phys Res Unit, Tunis 2092, Tunisia;

    Qassim Univ, Coll Sci & Arts Ar Rass, Dept Math, POB 53, Ar Rass 51921, Saudi Arabia|Univ Oran Ahmed Benbella, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria;

    Qassim Univ, Coll Sci & Arts Ar Rass, Phys Dept, POB 53, Ar Rass 51921, Saudi Arabia|Univ Sousse, Lab Energy & Mat LabEM, ESSTHS, Sousse 4011 H, TunisiaQassim Univ, Coll Sci & Arts ArRass, Dept Biol, POB 53, Arrass 51921, Saudi ArabiaQassim Univ, Dept Phys, Coll Sci, PO 6644, Buryadh 51452, Saudi Arabia;

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