Impact of climate change on dengue fever epidemics in South and Southeast Asian settings: A modelling study
September 2023
The potential for dengue fever epidemic due to climate change remains uncertain in tropical areas. This study aims to assess the impact of climate change on dengue fever transmission in four South and...
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Plausible explanation for the third COVID-19 wave in India and its implications
March 2023
Recently some of us used a random-walk Monte Carlo simulation approach to study the spread of COVID-19. The calculations were reasonably successful in describing secondary and tertiary waves of infection,...
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To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic
2020
Face mask use by the general public for limiting the spread of the COVID-19 pandemic is controversial, though increasingly recommended, and the potential of this intervention is not well understood....
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Mathematical modeling of malaria transmission dynamics in humans with mobility and control states
December 2023
Malaria importation is one of the hypothetical drivers of malaria transmission dynamics across the globe. Several studies on malaria importation focused on the effect of the use of conventional malaria...
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A simple modification to the classical SIR model to estimate the proportion of under-reported infections using case studies in flu and COVID-19
December 2024
Under-reporting and, thus, uncertainty around the true incidence of health events is common in all public health reporting systems. While the problem of under-reporting is acknowledged in epidemiology,...
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A primer on model selection using the Akaike Information Criterion
2020
A powerful investigative tool in biology is to consider not a single mathematical model but a collection of models designed to explore different working hypotheses and select the best model in that...
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Understanding the impact of HIV on mpox transmission in the MSM population: A mathematical modeling study
December 2024
The recent mpox outbreak (in 2022–2023) has different clinical and epidemiological features compared with previous outbreaks of the disease. During this outbreak, sexual contact was believed to be the...
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Epidemiological impact of revoking mask-wearing recommendation on COVID-19 transmission in Tokyo, Japan
December 2024
Despite the global implementation of COVID-19 mitigation measures, the disease continues to maintain transmission. Although mask wearing became one of the key measures for preventing the transmission...
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Reproduction numbers of infectious disease models
August 2017
This primer article focuses on the basic reproduction number, ℛ0, for infectious diseases, and other reproduction numbers related to ℛ0 that are useful in guiding control strategies. Beginning with...
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Estimating epidemic exponential growth rate and basic reproduction number
2020
The initial exponential growth rate of an epidemic is an important measure of the severeness of the epidemic, and is also closely related to the basic reproduction number. Estimating the growth rate...
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The transmission mechanism theory of disease dynamics: Its aims, assumptions and limitations
March 2023
Most of the progress in the development of single scale mathematical and computational models for the study of infectious disease dynamics which now span over a century is build on a body of knowledge...
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Graph modelling for tracking the COVID-19 pandemic spread
2021
The modelling is widely used in determining the best strategies for the mitigation of the impact of infectious diseases. Currently, the modelling of a complex system such as the spread of COVID-19 infection...
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Using statistics and mathematical modelling to understand infectious disease outbreaks: COVID-19 as an example
2020
During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated...
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A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
May 2017
Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential...
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COVID-19 epidemic prediction and the impact of public health interventions: A review of COVID-19 epidemic models
2021
The coronavirus disease outbreak of 2019 (COVID-19) has been spreading rapidly to all corners of the word, in a very complex manner. A key research focus is in predicting the development trend of COVID-19...
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Modeling measles transmission in adults and children: Implications to vaccination for eradication
December 2024
Despite the availability of successful vaccines, measles outbreaks have occurred frequently in recent years, presumably due to the lack of proper vaccination implementation. Moreover, measles cases...
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Increasing age and duration of sex work among female sex workers in South Africa and implications for HIV incidence estimation: Bayesian evidence synthesis and simulation exercise
March 2024
In sub-Saharan Africa, accurate estimates of the HIV epidemic in female sex workers are crucial for effective prevention and care strategies. These estimates are typically derived from mathematical...
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Climate-based dengue model in Semarang, Indonesia: Predictions and descriptive analysis
2021
Dengue is one of the most rapidly spreading vector-borne diseases, which is considered to be a major health concern in tropical and sub-tropical countries. It is strongly believed that the spread and...
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Prediction and control of cholera outbreak: Study case of Cameroon
September 2024
This paper deals with the problem of the prediction and control of cholera outbreak using real data of Cameroon. We first develop and analyze a deterministic model with seasonality for the cholera,...
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Regional variations in HIV diagnosis in Japan before and during the COVID-19 pandemic
March 2025
The number of people undergoing voluntary HIV testing has abruptly decreased since 2020. The geographical heterogeneity of HIV infection and the impact of COVID-19 on the diagnosis of HIV at regional...
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Mathematical epidemiology: Past, present, and future
May 2017
We give a brief outline of some of the important aspects of the development of mathematical epidemiology....
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Mathematical modeling with optimal control analysis of social media addiction
2021
In this paper, we developed a deterministic mathematical model of social media addiction (SMA) with an optimal control strategy. Major qualitative analysis like the social media addiction free equilibrium...
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Modeling and forecasting of COVID-19 using a hybrid dynamic model based on SEIRD with ARIMA corrections
2021
The outbreak of novel coronavirus (COVID-19) attracted worldwide attention. It has posed a significant challenge for the global economies, especially the healthcare sector. Even with a robust healthcare...
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Forecasting influenza epidemics in China using transmission dynamic model with absolute humidity
March 2025
An influenza forecasting system is critical to influenza epidemic preparedness. Low temperature has long been recognized as a condition favoring influenza epidemic, yet it fails to justify the summer...
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A data science pipeline applied to Australia's 2022 COVID-19 Omicron waves
March 2025
The field of software engineering is advancing at astonishing speed, with packages now available to support many stages of data science pipelines. These packages can support infectious disease modelling...
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