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

Bi, Kaiming; Chen, Yuyang; Zhao, Song-Feng; Ben‐Arieh, David; Wu, Chih-Hang John

doi:10.1016/j.chaos.2020.109622

Cited by 6 publications

(3 citation statements)

References 60 publications

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“…Although many ODE models describe VL epidemics and transmission, the development of a novel dynamic model is an active area of research in the investigation of complicated transmission behaviors of VL under various situations and the development of improved mitigation and control strategies. Bi et al introduced a two-dimensional PDE model based on an existing ODE model [ 13 ]. The model presented in their research considered human age structures and time as two dimensions since historical data have strongly suggested that VL infection rates are highly correlated to human age groups.…”

Section: Mathematical Epidemiology Models For Vlmentioning

confidence: 99%

“…Parameter estimation is another essential application when validating VL mathematical models using real-world data since the use of assumed system parameters in the model may reduce model reliability. Bi et al summarized age structures of VL infections in various regions [ 13 ]. They revised the constant infection rate into age-dependent distribution of infection rates by studying historical VL prevalence data from existing literature from diverse regions over time ( Figure 7 ).…”

Section: Mathematical Epidemiology Models For Vlmentioning

confidence: 99%

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Current Visceral Leishmaniasis Research: A Research Review to Inspire Future Study

Chen

Zhao

et al. 2018

BioMed Research International

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Visceral leishmaniasis (VL), one of the deadliest parasitic diseases in the world, causes more than 50,000 human deaths each year and afflicts millions of people throughout South America, East Africa, South Asia, and Mediterranean Region. In 2015 the World Health Organization classified VL as a neglected tropical disease (NTD), prompting concentrated study of the VL epidemic using mathematical and simulation models. This paper reviews literature related to prevalence and prevention control strategies. More than thirty current research works were reviewed and classified based on VL epidemic study methods, including modeling approaches, control strategies, and simulation techniques since 2013. A summarization of these technical methods, major findings, and contributions from existing works revealed that VL epidemic research efforts must improve in the areas of validating and verifying VL mathematical models with real-world epidemic data. In addition, more dynamic disease control strategies must be explored and advanced simulation techniques must be used to predict VL pandemics.

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Section: Mathematical Epidemiology Models For Vlmentioning

confidence: 99%

Section: Mathematical Epidemiology Models For Vlmentioning

confidence: 99%

Current Visceral Leishmaniasis Research: A Research Review to Inspire Future Study

Chen

Zhao

et al. 2018

BioMed Research International

Self Cite

View full text Add to dashboard Cite

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“…There are many mathematical models formulated to study the within-host virus dynamics with and without an immune response in recent studies [1][2][3][4][5][6]. Furthermore, there are many studies considering age-structure [7,8] or reaction-diffusion [9,10] in virus dynamics.…”

Section: Introductionmentioning

confidence: 99%

Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems

Wang

2022

Mathematics

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Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing transcritical bifurcation undergoes backward or forward bifurcation in viral infection models with nonmonotonic immune responses. Our investigation demonstrates that the backward bifurcation threshold is the elite control threshold. When the immune intensity is greater than the elite control threshold, the virus will be under elite control; when the immune intensity is less than the elite control threshold, the virus may rebound. We also give a new definition of robustness to characterize bistable systems.

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Learning-based impulse control with event-triggered conditions for an epidemic dynamic system

Chen

et al. 2022

Communications in Nonlinear Science and Numerical Simulation

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

Cited by 6 publications

References 60 publications

Current Visceral Leishmaniasis Research: A Research Review to Inspire Future Study

Current Visceral Leishmaniasis Research: A Research Review to Inspire Future Study

Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems

Learning-based impulse control with event-triggered conditions for an epidemic dynamic system

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