Pest persistence and eradication conditions in a deterministic model for sterile insect release

Area of Science:

• Ecology
• Population Dynamics
• Pest Management

Background:

• Sterile insect technique (SIT) is an eco-friendly pest control method.
• Knipling's model effectively describes SIT at high insect densities and mating rates.
• Existing models fail to accurately represent SIT under conditions of scarce mating encounters.

Purpose of the Study:

• To develop and numerically explore deterministic population models for SIT.
• To specifically address scenarios with scarce mating encounters in long-lived, multiple-mating species.
• To analyze the impact of mating failure and encounter frequency on pest populations.

Main Methods:

• Derivation of deterministic population models incorporating SIT.
• Numerical exploration of models with separate accounting for mating failure and encounter rates.
• Inclusion of spatial spread using diffusion terms.
• Analysis under density-dependent population regulation.

Main Results:

• Models reveal potential for steady pest persistence in finite areas, especially with spatial spread.
• Sterile male release can lead to mating failure.
• Under density dependence, SIT may induce abrupt pest population suppression.

Conclusions:

• Deterministic models provide a more nuanced understanding of SIT effectiveness.
• SIT efficacy is highly dependent on mating encounter rates and population dynamics.
• The study highlights conditions where SIT can unexpectedly lead to population collapse.