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A new zoonotic visceral leishmaniasis dynamic transmission model with age-structure

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  • Bi, Kaiming
  • Chen, Yuyang
  • Zhao, Songnian
  • Ben-Arieh, David
  • (John) Wu, Chih-Hang

Abstract

Visceral leishmaniasis (VL) is a fatal, neglected tropical disease primarily caused by Leishmania donovani (L. donovani) and Leishmania infantum (L. infantum). According to VL infectious data reports from severely affected countries, children and teenagers (ages 0–20) have a significantly higher vulnerability to VL infection than other populations. This paper utilizes an infected function (by age) established from epidemic prevalence data to propose a new partial differential equation (PDE) model for infection transmission patterns for various age groups. This new PDE model can be used to study VL epidemics in time and age dimensions. Disease-free and endemic equilibriums are discussed in relation to theoretical stability of the PDE system. This paper also proposes system output adjustment using historical VL data from the World Health Organization. Statistical methods such as the moving average and the autoregressive methods are used to calibrate estimated prevalence trends, potentially minimizing differences between stochastic stimulation results and reported real-world data. Results from simulation experiments using the PDE model were used to predict the worldwide VL severity of the epidemic in the next four years (from 2017 to 2020).

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300217
    DOI: 10.1016/j.chaos.2020.109622
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    References listed on IDEAS

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    1. Mills,Terence C., 1991. "Time Series Techniques for Economists," Cambridge Books, Cambridge University Press, number 9780521405744.
    2. 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.
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    Cited by:

    1. Tengfei Wang & Shaoli Wang & Fei Xu, 2022. "Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems," Mathematics, MDPI, vol. 10(12), pages 1-20, June.
    2. Muntaser Safan & Alhanouf Altheyabi, 2023. "Mathematical Analysis of an Anthroponotic Cutaneous Leishmaniasis Model with Asymptomatic Infection," Mathematics, MDPI, vol. 11(10), pages 1-19, May.
    3. Rika Amelia & Nursanti Anggriani & Asep K. Supriatna & Noor Istifadah, 2023. "Analysis and Optimal Control of the Tungro Virus Disease Spread Model in Rice Plants by Considering the Characteristics of the Virus, Roguing, and Pesticides," Mathematics, MDPI, vol. 11(5), pages 1-14, February.
    4. Carmen Legarreta & Manuel De la Sen & Santiago Alonso-Quesada, 2024. "On the Properties of a Newly Susceptible, Non-Seriously Infected, Hospitalized, and Recovered Subpopulation Epidemic Model," Mathematics, MDPI, vol. 12(2), pages 1-34, January.

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