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Published on: May 23, 2018
Optimal control applied to a temperature dependent schistosomiasis model
Chester Kalinda1, Steady Mushayabasa2, Moses J Chimbari1
1College of Health Sciences, Howard Campus, University of KwaZulu-Natal, Durban 4041, South Africa.
Optimal control significantly reduces schistosomiasis burden by over threefold. Strategies vary with cost: low costs mean prolonged, maximum strength interventions, while high costs necessitate balanced, reduced strength application to manage infection.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- Schistosomiasis is a prevalent water-borne disease, posing a significant global health challenge, particularly in endemic regions.
- Effective control strategies are crucial to mitigate the impact of schistosomiasis on human populations and travelers.
Purpose of the Study:
- To apply optimal control theory to a temperature-dependent schistosomiasis model.
- To identify cost-effective strategies for minimizing human infection and disease burden.
Main Methods:
- Development and analysis of a mathematical model incorporating temperature-dependent transmission dynamics.
- Application of optimal control techniques to determine intervention strategies.
Main Results:
- Optimal control can reduce the schistosomiasis burden by more than threefold.
- Low-cost optimal strategies involve prolonged, maximum-strength interventions.
- High-cost scenarios require reduced-strength interventions for a cost-benefit balance.
Conclusions:
- Optimal control theory provides a valuable framework for managing schistosomiasis.
- Cost-effectiveness is a key consideration in designing schistosomiasis control interventions.
- The study offers insights for minimizing infected hosts and vectors through strategic control.
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