Mathematical model of coffee tree's rust control using snails as biological agents

Area of Science:

• Ecology
• Epidemiology
• Mathematical Biology

Background:

• Coffee rust poses a significant global threat to coffee production, causing ecological and economic damage.
• Snails are a promising biological control for coffee rust but pose risks as an invasive species if overused.

Purpose of the Study:

• To develop and analyze an ecological-epidemiological model for coffee rust control using snails.
• To determine optimal snail introduction strategies to manage coffee rust without causing ecological imbalance.

Main Methods:

• Mathematical modeling of ecological and epidemiological dynamics.
• Analysis of system equilibria and stability properties.
• Numerical simulations and sensitivity analysis.
• Development of an in silico mechanism for initial condition-based snail population prediction.

Main Results:

• The model analyzes the stability of equilibria for coffee rust and snail populations.
• Numerical analysis reveals system sensitivity to snail control interventions.
• An in silico method is proposed to link initial conditions to optimal snail numbers.

Conclusions:

• The developed model provides a framework for optimizing snail-based biological control of coffee rust.
• It aids in predicting and managing snail populations for sustainable coffee plantation health.
• The research supports the judicious use of snails to mitigate rust pandemics in small-scale areas.