Abstract
In this paper, we formulate discrete-time mathematical models for the interactive wild and sterile mosquitoes. Instead of the Ricker-type of nonlinearity for the survival functions, we assume the Beverton–Holt-type in these models. We consider three different strategies for the releases of sterile mosquitoes and investigate the model dynamics. Threshold values for the releases of sterile mosquitoes are derived for all of the models that determine whether the wild mosquitoes are wiped out or coexist with the sterile mosquitoes. Numerical examples are given to demonstrate the dynamics of the models.
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The authors thank Dr. Nakul Chitnis and an anonymous reviewer for their careful reading and valuable comments and suggestions.
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This article belongs to the Special Issue: Demographic and temporal heterogeneity in infectious disease epidemiology.
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Li, Y., Li, J. Discrete-time models for releases of sterile mosquitoes with Beverton–Holt-type of survivability. Ricerche mat 67, 141–162 (2018). https://doi.org/10.1007/s11587-018-0361-4
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DOI: https://doi.org/10.1007/s11587-018-0361-4
Keywords
- Mathematical modeling
- Beverton–Holt survivability
- Discrete-time models
- Sterile mosquitoes
- Vector-borne diseases