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Effect of diseases on symbiotic systems
Pankaj Kumar Tiwari1, Sourav Kumar Sasmal2, Amar Sha2
1Dipartimento di Matematica "Giuseppe Peano", Universitá di Torino, via Carlo Alberto 10, 10123 Torino, Italy.
Bio Systems
|July 16, 2017
Summary
Introducing a symbiotic species can help control disease spread within populations. This study models mutualistic relationships and disease dynamics, finding symbiosis offers a viable disease management strategy.
Area of Science:
- Ecology
- Mathematical Biology
- Epidemiology
Background:
- Symbiotic communities involve species living together.
- Disease outbreaks can significantly impact population dynamics within these communities.
- Traditional models like Lotka-Volterra often focus on direct interactions, not indirect effects on carrying capacities.
Purpose of the Study:
- To analyze mutualistic symbiotic models with disease spread in one population.
- To characterize symbiotic relationships by examining mutual influences on carrying capacities.
- To understand how strong interdependencies affect population dynamics and disease transmission.
Main Methods:
- Mathematical modeling of mutualistic populations with disease.
- Analysis of equilibria for feasibility and stability.
- Numerical simulations and global sensitivity analysis to identify key parameters.
Main Results:
- The functional dependence of carrying capacities reflects indirect interactions.
- Infective growth rate and disease-related mortality significantly impact system stability.
- Strong symbiotic influences can alter population dynamics and disease spread.
Conclusions:
- Introducing a symbiotic species is a plausible method for disease control.
- Symbiosis can stabilize populations and mitigate disease effects.
- The study highlights the importance of indirect interactions in ecological models with disease.
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