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Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection

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  • Folashade B Agusto
  • Ibrahim M ELmojtaba

Abstract

In this paper, a deterministic model involving the transmission dynamics of malaria/visceral leishmaniasis co-infection is presented and studied. Optimal control theory is then applied to investigate the optimal strategies for curtailing the spread of the diseases using the use of personal protection, indoor residual spraying and culling of infected reservoirs as the system control variables. Various combination strategies were examined so as to investigate the impact of the controls on the spread of the disease. And we investigated the most cost-effective strategy of all the control strategies using three approaches, the infection averted ratio (IAR), the average cost-effectiveness ratio (ACER) and incremental cost-effectiveness ratio (ICER). Our results show that the implementation of the strategy combining all the time dependent control variables is the most cost-effective control strategy. This result is further emphasized by using the results obtained from the cost objective functional, the ACER, and the ICER.

Suggested Citation

  • Folashade B Agusto & Ibrahim M ELmojtaba, 2017. "Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-31, February.
    • Handle: RePEc:plo:pone00:0171102
    DOI: 10.1371/journal.pone.0171102
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    Cited by:

    1. Ghosh, M. & Olaniyi, S. & Obabiyi, O.S., 2020. "Mathematical analysis of reinfection and relapse in malaria dynamics," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    2. Asamoah, Joshua Kiddy K. & Jin, Zhen & Sun, Gui-Quan & Seidu, Baba & Yankson, Ernest & Abidemi, Afeez & Oduro, F.T. & Moore, Stephen E. & Okyere, Eric, 2021. "Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Berhe, Hailay Weldegiorgis, 2020. "Optimal Control Strategies and Cost-effectiveness Analysis Applied to Real Data of Cholera Outbreak in Ethiopia’s Oromia Region," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Bi, Kaiming & Chen, Yuyang & Zhao, Songnian & Ben-Arieh, David & (John) Wu, Chih-Hang, 2020. "A new zoonotic visceral leishmaniasis dynamic transmission model with age-structure," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    5. Aldila, Dipo, 2020. "Analyzing the impact of the media campaign and rapid testing for COVID-19 as an optimal control problem in East Java, Indonesia," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    6. Khajji, Bouchaib & Kouidere, Abdelfatah & Elhia, Mohamed & Balatif, Omar & Rachik, Mostafa, 2021. "Fractional optimal control problem for an age-structured model of COVID-19 transmission," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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