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Stage-structured wild and sterile mosquito population models and their dynamics. (English) Zbl 1448.92219
Summary: To study the impact of the sterile insect technique and effects of the mosquitoes’ metamorphic stage structure on the transmission dynamics of mosquito-borne diseases, we formulate stage-structured continuous-time mathematical models, based on systems of differential equations, for the interactive dynamics of the wild and sterile mosquitoes. We incorporate different strategies for the releases of sterile mosquitoes in the models and investigate the model dynamics, including the existence of positive equilibria and their stability. Numerical examples are provided to demonstrate the dynamical features of the models.

MSC:
92D25 Population dynamics (general)
92D30 Epidemiology
34D20 Stability of solutions to ordinary differential equations
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