Discrete-time models for interactive wild and sterile mosquitoes with general time steps

Area of Science:

• Mathematical Biology
• Ecology
• Population Dynamics

Background:

• Traditional discrete-time population models often simplify by considering discrete generations or life cycles.
• Incorporating survival rates at each time step offers a more realistic representation of population dynamics.

Purpose of the Study:

• To formulate novel discrete-time homogeneous and stage-structured models for mosquito populations.
• To analyze the interactive dynamics between wild and sterile mosquito populations under controlled release conditions.
• To determine critical release thresholds for effective population management.

Main Methods:

• Development of discrete-time homogeneous and stage-structured population models.
• Inclusion of survival rates at each time step.
• Mathematical analysis of interactive dynamics between wild and sterile mosquito populations.
• Determination of threshold values for sterile mosquito releases.

Main Results:

• The study establishes theoretical results for interactive dynamics in both homogeneous and stage-structured populations.
• Threshold values for sterile mosquito releases were determined.
• Numerical examples validated the theoretical findings.

Conclusions:

• The formulated models provide a more general framework for studying mosquito population dynamics.
• The research offers insights into the effectiveness of sterile mosquito releases for population control.
• The findings are crucial for developing targeted pest management strategies.