An incubating diseased-predator ecoepidemic model
Chiara Tannoia1, Emiliano Torre, Ezio Venturino
1Department of Mathematics "Giuseppe Peano", Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy.
Journal of Biological Physics
|March 12, 2014
Summary
This study models predator-prey dynamics with disease, revealing persistent oscillations and bistability. The disease spreads after an incubation period, impacting population stability.
Area of Science:
- Ecology
- Epidemiology
- Mathematical Biology
Background:
- Predator-prey systems are fundamental to ecosystem stability.
- Transmissible diseases can significantly impact wildlife populations.
- Understanding disease dynamics in ecological models is crucial for conservation.
Purpose of the Study:
- To develop and analyze a mathematical model for disease spread in a predator-prey context.
- To investigate the impact of disease incubation periods on population dynamics.
- To explore the equilibrium states and stability of the predator-prey system with disease.
Main Methods:
- Mathematical modeling of disease transmission within a predator population.
- Analysis of system equilibria using analytical techniques.
- Numerical simulations to explore model behavior and parameter space.
Main Results:
- The model demonstrates that disease can lead to persistent oscillations in predator and prey populations.
- A bistability phenomenon was observed, with coexistence and prey-only equilibria being stable under certain conditions.
- The incubation period plays a critical role in disease-induced population dynamics.
Conclusions:
- Disease dynamics can destabilize predator-prey interactions, leading to cyclical population fluctuations.
- The model highlights the potential for complex population dynamics, including bistability, due to endemic diseases.
- Further research into disease ecology is vital for predicting and managing wildlife population dynamics.
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