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. 2020 Jul 11:2020:6584323.
doi: 10.1155/2020/6584323. eCollection 2020.

Assessing the Impact of Optimal Health Education Programs on the Control of Zoonotic Diseases

Affiliations

Assessing the Impact of Optimal Health Education Programs on the Control of Zoonotic Diseases

A Mhlanga. Comput Math Methods Med. .

Abstract

To better understand the dynamics of zoonotic diseases, we propose a deterministic mathematical model to study the dynamics of zoonotic brucellosis with a focus on developing countries. The model contains all the relevant biological details, including indirect transmission by the environment. We analyze the essential dynamic behavior of the model and perform an optimal control study to design effective prevention and intervention strategies. The sensitivity analysis of the model parameters is performed. The aim of the controls is tied to reducing the number of infected humans, through health promotional programs within the affected communities. The Pontryagin's Maximum Principle is used to characterize the optimal level of the controls, and the resulting optimality system is solved numerically. Overall, the study demonstrates that through health promotional programs on zoonotic diseases among villagers, it is vital that they should be conducted with high efficacy.

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Conflict of interest statement

The authors declare that they have no conflicts of interest.

Figures

Figure 1
Figure 1
Graphs of the numerical solutions of the optimality system, showing the propagation of (a) the educated susceptible population C and (b) the infected human population Ih; (c, d) showing the optimal control graphs for the two controls, u1 and u2, respectively. Over a period of 12 years with η = 0.25.
Figure 2
Figure 2
Graphs of the numerical solutions of the optimality system, showing the propagation of (a) the educated susceptible populations C and (b) the infected human population Ih; (c, d) showing the optimal control graphs for the two controls, u1 and u2, respectively. Over a period of 12 years with η = 0.5.
Figure 3
Figure 3
Graphs of the numerical solutions of the optimality system, showing the propagation of (a) the educated susceptible populations C and (b) the infected human population Ih; (c, d) showing the optimal control graphs for the two controls, u1 and u2, respectively. Over a period of 12 years with η = 0.75.

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References

    1. Belay E. D., Kile J. C., Hall A. J., et al. Zoonotic disease programs for enhancing global health security. Emerging Infectious Diseases. 2017;23(13):S65–S70. doi: 10.3201/eid2313.170544. - DOI - PMC - PubMed
    1. Grace D., Mutua F., Ochungo P., et al. Mapping of poverty and likely zoonoses hotspots. Report to UK Department for International Development; 2012.
    1. Centers for Disease Control and Prevention. National Center for Emerging and Zoonotic Infectious Diseases (NCEZID) One Health. 2017 https://www.cdc.gov/onehealth/basics/zoonotic-diseases.html.
    1. Allen L. J. S., Allen V. L., Jonsson C. B., et al. Mathematical MODELING of viral zoonoses in wildlife. Natural Resource Modeling. 2012;25(1):5–51. doi: 10.1111/j.1939-7445.2011.00104.x. - DOI - PMC - PubMed
    1. Morse S. S., Mazet J. A. K., Woolhouse M., et al. Prediction and prevention of the next pandemic zoonosis. The Lancet. 2012;380(9857):1956–1965. doi: 10.1016/S0140-6736(12)61684-5. - DOI - PMC - PubMed