Free boundary models for mosquito range movement driven by climate warming

Area of Science:

• Mathematical Biology
• Ecology
• Epidemiology

Background:

• Mosquitoes are significant vectors for numerous diseases.
• Climate change and warming are increasingly recognized as key factors influencing mosquito distribution and density.
• Understanding mosquito movement dynamics is crucial for disease prevention.

Purpose of the Study:

• To explore the impact of climate warming on mosquito range movement using mathematical models.
• To analyze the effects of temperature changes on mosquito population dynamics.
• To investigate the role of seasonal changes and hibernation in mosquito dispersal.

Main Methods:

• Development and analysis of three diffusive logistic models with free boundaries in one space dimension.
• Introduction of a general model incorporating spatio-temporal temperature changes.
• Modification into a seasonal succession model accounting for hibernation during cold seasons.
• Numerical simulations to capture long-time dynamical behavior.

Main Results:

• The simplified and general models show qualitatively similar long-time dynamical behaviors.
• Climate warming's effect on mosquito movement is effectively captured by the models.
• Hibernation enhances mosquito survival and spreading potential.
• Hibernation, however, decreases the speed of mosquito range expansion.

Conclusions:

• Mathematical modeling provides valuable insights into climate change impacts on mosquito populations.
• Seasonal changes and hibernation are critical factors modulating mosquito range dynamics.
• Findings contribute to predicting and managing mosquito-borne disease risks under changing climate conditions.