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Stage-structured models for interacting wild and sterile mosquitoes
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作者 Jia Li 《上海师范大学学报(自然科学版)》 2014年第5期511-522,共12页
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 i... 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. 展开更多
关键词 Mathematical modeling Ricker-type nonlinearity stage structure sterile mosquitoes thresholds vector-borne diseases
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The dynamics of delayed models for interactive wild and sterile mosquito populations
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作者 Juan Wang Peixia Yue Liming Cai 《International Journal of Biomathematics》 SCIE 2023年第5期137-164,共28页
The sterile insect technique(SIT)has been applied as an alternative method to reduce or eradicate mosquito-borne diseases.To explore the impact of the sterile mosquitoes on controlling the wild mosquito populations,in... The sterile insect technique(SIT)has been applied as an alternative method to reduce or eradicate mosquito-borne diseases.To explore the impact of the sterile mosquitoes on controlling the wild mosquito populations,in this paper,we further extend the work in[J.Li,New revised simple models for interactive wild and sterile mosquito populations and their dynamics,J.Biol.Dyn.11(S2)(2017)316-333]and formulate delayed models for interactive wild and sterile mosquitoes,which can depict wild mosquito population undergoing distinct stages of development during a lifetime.By performing mathematical analysis,the threshold dynamics of the proposed models are explored,respectively.In particular,Hopf bifurcation phenomena are observed as the delay T is varying.Numerical examples illustrateourfindings. 展开更多
关键词 sterile mosquito release control strategy TIME-DELAY stability Hopf bifurcation
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Asymptotic stability in a mosquito population suppression model with time delay
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作者 Yuanxian Hui Zhong Zhao +1 位作者 Qiuying Li Liuyong Pang 《International Journal of Biomathematics》 SCIE 2023年第4期1-19,共19页
In this paper,a delayed mosquito population suppression model,where the number of sexually active sterile mosquitoes released is regarded as a given nonnegative function,and the birth process is density dependent by c... In this paper,a delayed mosquito population suppression model,where the number of sexually active sterile mosquitoes released is regarded as a given nonnegative function,and the birth process is density dependent by considering larvae progression and the intra-specific competition within the larvae,is developed and studied.A threshold value r^(*)for the releases of sterile mosquitoes is determined,and it is proved that the origin is globally asymptotically stable if the number of sterile mosquitoes released is above the threshold value r^(*).Besides,the case when the number of sterile mosquitoes released stays at a constant level r is also considered.In the special case,it is also proved that the origin is globally asymptotically stable if and only if r>r^(*)and that the model exhibits other complicated dynamics such as bi-stability and semi-stability when r≤r^(*).Numerical examples are also provided to illustrate our main theoretical results. 展开更多
关键词 Global asymptotic stability delay differential equation mosquito population suppression sterile mosquitoes mosquito-borne diseases
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