Dynamics of Mosquitoes Populations with Different Strategies for Releasing Sterile Mosquitoes

To prevent the transmissions of malaria, dengue fever, or other mosquito-borne diseases, one of the effective weapons is the sterile insect technique in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on disease transmission, we formulate continuous-time mathematical models for the interactive dynamics of the wild and sterile mosquitoes, incorporating different strategies in releasing sterile mosquitoes. We investigate the model dynamics and compare the impact of the different release strategies. Numerical examples are also given to demonstrate rich dynamical features of the models.

[1]  G. Clark,et al.  Sterile-insect methods for control of mosquito-borne diseases: an analysis. , 2010, Vector borne and zoonotic diseases.

[2]  Jia Li,et al.  Discrete-time models with mosquitoes carrying genetically-modified bacteria. , 2012, Mathematical biosciences.

[3]  Jia Li,et al.  Malaria model with stage-structured mosquitoes. , 2011, Mathematical biosciences and engineering : MBE.

[4]  Jia Li,et al.  Simple mathematical models for interacting wild and transgenic mosquito populations. , 2004, Mathematical biosciences.

[5]  Hugh J. Barclay,et al.  Pest population stability under sterile releases , 1982, Researches on Population Ecology.

[6]  M. Rafikov,et al.  Optimal control strategy of malaria vector using genetically modified mosquitoes. , 2009, Journal of theoretical biology.

[7]  Jason L. Rasgon,et al.  Multi-Locus Assortment (MLA) for Transgene Dispersal and Elimination in Mosquito Populations , 2009, PloS one.

[8]  Sibao Wang,et al.  Genetic approaches to interfere with malaria transmission by vector mosquitoes. , 2013, Trends in biotechnology.

[9]  Maeve L. McCarthy,et al.  Optimal control of insects through sterile insect release and habitat modification. , 2013, Mathematical biosciences.

[10]  Lourdes Esteva,et al.  Mathematical model to assess the control of Aedes aegypti mosquitoes by the sterile insect technique. , 2005, Mathematical biosciences.

[11]  Y Dumont,et al.  Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus , 2012, Journal of mathematical biology.

[12]  H. Yang,et al.  Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide. , 2010, Mathematical biosciences.

[13]  Shangbing Ai,et al.  Mosquito-Stage-Structured Malaria Models and Their Global Dynamics , 2012, SIAM J. Appl. Math..

[14]  K. Zhu,et al.  Transgenesis and paratransgenesis to control insect-borne diseases: current status and future challenges. , 2010, Parasitology international.

[15]  J. C. Flores.  A mathematical model for wild and sterile species in competition: immigration , 2003 .

[16]  H. Barclay,et al.  The Sterile Insect Release Method for Pest Control: a Density-Dependent Model , 1980 .

[17]  Jia Li,et al.  Differential equations models for interacting wild and transgenic mosquito populations , 2008, Journal of biological dynamics.

[18]  A. Ramírez,et al.  A model for the control of malaria using genetically modified vectors. , 2011, Journal of theoretical biology.

[19]  Hugh J. Barclay,et al.  Mathematical Models for the Use of Sterile Insects , 2005 .

[20]  S. Schreiber.  Allee effects, extinctions, and chaotic transients in simple population models. , 2003, Theoretical population biology.

[21]  Jia Li,et al.  Modeling of mosquitoes with dominant or recessive transgenes and Allee effects. , 2010, Mathematical biosciences and engineering : MBE.

[22]  Ravi Durvasula,et al.  Paratransgenic Control of Vector Borne Diseases , 2011, International journal of biological sciences.