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A Rat Model of EcoHIV Brain Infection

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Published on: January 21, 2021

Comparing functional responses in predator-infected eco-epidemics models.

Mainul Haque¹, Md Sabiar Rahman, Ezio Venturino

¹Division of Anaesthesia & Intensive Care, School of Clinical Sciences, Queen's Medical Centre, University of Nottingham, UK.

|August 3, 2013

Summary

This study models predator-prey dynamics with disease in predators, finding that infection rate and competition significantly impact population stability and survival. Key parameters determine ecosystem behavior, including species persistence and oscillations.

Keywords:

Biological implications Intra-specific competition among the predator Limit cycles Predator–prey models Transmissible disease in predator

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Area of Science:

Mathematical Biology
Ecology
Epidemiology

Background:

Predator-prey models are fundamental in ecology.
Incorporating disease dynamics into these models is crucial for realistic ecological understanding.
Transmissible diseases can significantly alter population dynamics.

Purpose of the Study:

To analyze mathematical models of predator-prey systems with disease affecting only the predator population.
To investigate the influence of various predator functional responses on eco-epidemic dynamics.
To establish the existence, boundedness, and uniqueness of solutions for the proposed models.

Main Methods:

Development and analysis of four distinct mathematical models.
Application of stability and bifurcation analysis.
Investigation of predator functional responses, including attack rates and competition.

Main Results:

Existence, boundedness, and uniqueness of solutions were mathematically established.
Stability analysis revealed critical dependencies on key parameters.
Bifurcation analysis indicated potential shifts in population dynamics.

Conclusions:

Eco-epidemic predator-prey system behavior, including stability, extinction, and oscillations, is critically dependent on the rate of infection, predator interspecies competition, and attack rates.
Functional responses play a significant role in shaping eco-epidemic outcomes.
The study provides insights into the biological implications of mathematical modeling in disease ecology.