Optimal control dynamics of Gonorrhea in a structured population
Joshua Kiddy K Asamoah1,2, Beilawu Safianu2, Emmanuel Afrifa2
1School of Mathematics, North University of China, Taiyuan, Shanxi 030051, China.
Heliyon
|October 16, 2023
Summary
This study models gonorrhea transmission dynamics to assess control strategies. Implementing education, condoms, vaccinations, and treatment effectively reduces new gonorrhea infections.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- Gonorrhea presents a significant global health challenge with millions of new cases annually.
- Understanding transmission dynamics is crucial for effective public health interventions.
Purpose of the Study:
- To develop and analyze a mathematical model for gonorrhea transmission in a structured population.
- To evaluate the impact of targeted dynamic control strategies on reducing gonorrhea spread.
Main Methods:
- Optimal control theory and Pontryagin's maximum principle were applied.
- A mathematical model incorporating population structure was formulated.
- Numerical simulations were performed to assess control strategy effectiveness.
Main Results:
- The model identified positively invariant and bounded regions for gonorrhea dynamics.
- Control strategies including education, condom use, vaccination, and treatment were simulated.
- Simulations demonstrated a significant decrease in gonorrhea infections with implemented controls.
Conclusions:
- Targeted dynamic control strategies are effective in mitigating gonorrhea transmission.
- Mathematical modeling provides valuable insights for public health policy on infectious diseases.
- Integrated interventions are key to controlling the spread of gonorrhea.
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