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Determining Temperature Preference of Mosquitoes and Other Ectotherms
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Threshold Dynamics of a Temperature-Dependent Stage-Structured Mosquito Population Model with Nested Delays.

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  • 1Department of Applied Mathematics, University of Western Ontario, London, ON, N6A 5B7, Canada. xiunan.wang@uwo.ca.

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Global warming impacts mosquito populations and disease spread. This study models mosquito dynamics, finding the basic reproduction number crucial for controlling mosquito-borne diseases like dengue.

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Area of Science:

  • Mathematical Biology
  • Epidemiology
  • Vector-borne Disease Ecology

Background:

  • Mosquito-borne diseases pose significant global public health and economic burdens.
  • Rising global temperatures due to climate change are predicted to expand mosquito habitats and increase disease transmission.
  • Understanding temperature-dependent mosquito population dynamics is vital for effective disease control strategies.

Purpose of the Study:

  • To develop a mathematical model simulating mosquito population dynamics under controlled temperature conditions.
  • To analyze the influence of temperature on mosquito population persistence and extinction.
  • To estimate model parameters for Aedes aegypti, a key vector for dengue virus.

Main Methods:

  • Development of a stage-structured mosquito population model.
  • The model is formulated as a system of periodic delay differential equations with periodic delays.
  • Analysis of the basic reproduction number as a threshold parameter for population dynamics.
  • Parameter estimation for Aedes aegypti using experimental data.
  • Numerical simulations incorporating temperature data from Colombo, Sri Lanka (2017 dengue outbreak).

Main Results:

  • The basic reproduction number was identified as a critical threshold determining mosquito population viability.
  • The model successfully captures mosquito population dynamics influenced by temperature variations.
  • Simulations validated the model's predictions using real-world dengue outbreak data.

Conclusions:

  • The developed mathematical model provides a valuable tool for understanding temperature-driven mosquito population dynamics.
  • The basic reproduction number serves as a key metric for assessing the risk of mosquito-borne disease spread.
  • Findings support the development of targeted disease control policies in response to climate change.