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Discrete-time models for releases of sterile mosquitoes with Beverton–Holt-type of survivability

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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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Acknowledgements

The authors thank Dr. Nakul Chitnis and an anonymous reviewer for their careful reading and valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA

    Yang Li

  2. Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, AL, USA

    Jia Li

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  1. Yang Li
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  2. Jia Li
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Correspondence to Jia Li.

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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

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