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Published on: September 29, 2017
Aggregation and environmental transmission in Chronic Wasting Disease
Olga Vasilyeva1, Tamer Oraby, Frithjof Lutscher
1Department of Mathematics, Christopher Newport University, 1 Avenue of the Arts, Newport News, VA 23606, United States. olga.vasilyeva@cnu.edu.
Understanding Chronic Wasting Disease (CWD) transmission is key. Our model shows CWD prevalence decreases with host aggregation but increases with agent lifespan, with the basic reproduction number as the elimination threshold.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Wildlife Disease Ecology
Background:
- Chronic Wasting Disease (CWD) spreads through direct and indirect transmission routes.
- Host social behavior significantly influences disease dynamics.
- Effective CWD management necessitates understanding etiological and behavioral factors.
Purpose of the Study:
- To develop a mathematical model for CWD transmission incorporating direct and indirect routes, and host aggregation.
- To analyze the impact of host behavior and disease parameters on CWD spread.
- To determine the disease elimination threshold.
Main Methods:
- Developed a strategic differential equation model for CWD.
- Incorporated direct and indirect transmission pathways and host aggregation.
- Calculated the basic reproduction number and performed sensitivity analysis using Latin hypercube sampling.
Main Results:
- Identified conditions for the existence of an endemic equilibrium.
- Demonstrated the absence of backward bifurcation and bistability under mild parameter assumptions.
- Found that CWD prevalence decreases with host aggregation.
- Observed that CWD prevalence increases with the environmental lifespan of the infectious agent.
Conclusions:
- The basic reproduction number serves as the disease elimination threshold for CWD.
- Host aggregation is a significant factor in reducing CWD prevalence.
- The environmental persistence of the infectious agent directly correlates with increased disease prevalence.
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