Threshold Dynamics of a Temperature-Dependent Stage-Structured Mosquito Population Model with Nested Delays
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Mosquito-borne diseases remain a significant threat to public health and economics. Since mosquitoes are quite sensitive to temperature, global warming may not only worsen the disease transmission case in current endemic areas but also facilitate mosquito population together with pathogens to establish in new regions. Therefore, understanding mosquito population dynamics under the impact of temperature is considerably important for making disease control policies. In this paper, we develop a stage-structured mosquito population model in the environment of a temperature-controlled experiment. The model turns out to be a system of periodic delay differential equations with periodic delays. We show that the basic reproduction number is a threshold parameter which determines whether the mosquito population goes to extinction or remains persistent. We then estimate the parameter values for Aedes aegypti, the mosquito that transmits dengue virus. We verify the analytic result by numerical simulations with the temperature data of Colombo, Sri Lanka where a dengue outbreak occurred in 2017.
KeywordsMosquito Climate change Periodic delay Dengue Basic reproduction ratio Population dynamics
- Christophers R (1960) Aedes aegypti (L.): the yellow fever mosquito. Cambridge University Press, CambridgeGoogle Scholar
- Smith HL (1995) Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Mathematical surveys and monographs, vol 41. American Mathematical Society, ProvidenceGoogle Scholar
- Zhao X-Q (2017b) Dynamical systems in population biology, 2nd edn. Springer, New York, pp 285–315Google Scholar