Disease dynamics in a coupled cholera model linking within-host and between-host interactions

Wang, Jin

doi:10.1080/17513758.2016.1231850

Cited by 26 publications

(14 citation statements)

References 35 publications

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“…. , m from the key equation using the remaining equations in (20). (6) Solve the first n+m equations, that is equations (18)- (19), so that ∂x k /∂p and ∂y k /∂p are expressed in terms of ∂y 1 /∂p.…”

Section: Remark 21mentioning

confidence: 99%

Methods for deriving necessary and sufficient conditions for backward bifurcation

Martcheva

2019

Journal of Biological Dynamics

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Backward bifurcation has significant implications for disease control. Deriving necessary and sufficient conditions for backward bifurcation is of paramount importance to understand the reasons for its occurrence and devise effective control strategies. In this paper, we review the methods that lead to necessary and sufficient conditions for backward bifurcation in infectious disease models. We review separately the methods that apply to ODEs and methods that apply to PDEs. We further propose a new method, applicable to both ODEs and PDEs. We illustrate the methods on three examples: a novel ODE model of cholera with vaccination, a PDE version of the cholera model with vaccination, and on an eight equation model of dengue, taken from the literature. ARTICLE HISTORY

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Section: Remark 21mentioning

confidence: 99%

Methods for deriving necessary and sufficient conditions for backward bifurcation

Martcheva

2019

Journal of Biological Dynamics

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“…For these infectious disease systems a nested multiscale model is more appropriate than an embedded multiscale because the contribution of super-infection to pathogen load at the microscale is negligible compared to the contribution of the pathogen replication cycle. The multiscale model for cholera in [16] at host level is a good example of such nested multiscale models. Nested multiscale models facilitate easy of reduction of the dimensions of the multiscale model, for example through slow and fast time scale analysis [13], making it easier to analyze the multiscale model.…”

Section: Decide On Category Of Multiscale Model To Developmentioning

confidence: 99%

The research and development process for multiscale models of infectious disease systems

Garira

2020

PLoS Comput Biol

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Multiscale modelling of infectious disease systems falls within the domain of complexity science-the study of complex systems. However, what should be made clear is that current progress in multiscale modelling of infectious disease dynamics is still as yet insufficient to present it as a mature sub-discipline of complexity science. In this article we present a methodology for development of multiscale models of infectious disease systems. This methodology is a set of partially ordered research and development activities that result in multiscale models of infectious disease systems built from different scientific approaches. Therefore, the conclusive result of this article is a methodology to design multiscale models of infectious diseases. Although this research and development process for multiscale models cannot be claimed to be unique and final, it constitutes a good starting point, which may be found useful as a basis for further refinement in the discourse for multiscale modelling of infectious disease dynamics.

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“…The main findings from these studies is that infection may persist at population level even if the isolated between-host reproduction number is less than one. Another good example of a BIDI-EMSM is given in [121] in the context of cholera transmission with both environmental and direct transmission. Class 2: SIMP-EMSMs: To date, little progress has been registered in developing SIMP-EMSMs.…”

Section: Class 1: Bidirectionally Coupled Embedded Multiscale Models mentioning

confidence: 99%

A complete categorization of multiscale models of infectious disease systems

Garira

2017

Journal of Biological Dynamics

112

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Modelling of infectious disease systems has entered a new era in which disease modellers are increasingly turning to multiscale modelling to extend traditional modelling frameworks into new application areas and to achieve higher levels of detail and accuracy in characterizing infectious disease systems. In this paper we present a categorization framework for categorizing multiscale models of infectious disease systems. The categorization framework consists of five integration frameworks and five criteria. We use the categorization framework to give a complete categorization of host-level immuno-epidemiological models (HL-IEMs). This categorization framework is also shown to be applicable in categorizing other types of multiscale models of infectious diseases beyond HL-IEMs through modifying the initial categorization framework presented in this study. Categorization of multiscale models of infectious disease systems in this way is useful in bringing some order to the discussion on the structure of these multiscale models.

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Disease dynamics in a coupled cholera model linking within-host and between-host interactions

Cited by 26 publications

References 35 publications

Methods for deriving necessary and sufficient conditions for backward bifurcation

Methods for deriving necessary and sufficient conditions for backward bifurcation

The research and development process for multiscale models of infectious disease systems

A complete categorization of multiscale models of infectious disease systems

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