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具有发育阶段结构的野生与不育蚊子交互作用的数学模型
Jia Li1
University of Alabama in Huntsville
摘要:
Using the sterile insect technique,in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population,is an effective weapon to prevent transmission of mosquito-borne diseases.To study the impact of the sterile insect technique on the disease transmissions,we formulate stage-structured discrete-time mathematical models,based on difference equations,for the interactive dynamics of the wild and sterile mosquitoes.We incorporate different strategies for releasing sterile mosquitoes,investigate the model dynamics,and compare the impact of the different release strategies.Numerical examples are also provided to demonstrate dynamical features of the models.
关键词:  Mathematical modeling  Ricker-type nonlinearity  stage structure  sterile mosquitoes  thresholds  vector-borne diseases
DOI:
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基金项目:U.S.National Science Foundation grant DMS-0931213
Stage-structured models for interacting wild and sterile mosquitoes
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