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...
A statistical model for forecasting probabilistic epidemic bands for dengue cases in Brazil
December 2025
Dengue is a vector-borne disease and a major public health concern in Brazil. Its continuing and rising burden has led the Brazilian Ministry of Health to request for modelling efforts to aid in the...
Dengue fever prediction based on meteorological features and deep learning models
June 2026
The dengue fever epidemic is one of the health priorities of the World Health Organization (WHO), and accurately predicting its epidemiological trends is crucial. Multi source geographic data such as...
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...
Dengue forecasting and outbreak detection in Brazil using LSTM: integrating human mobility and climate factors
March 2026
Dengue fever is a major global health concern, with Brazil experiencing recurrent and severe outbreaks due to its favorable climate factors, socio-environmental conditions, and increasing human mobility....
Global infectious disease early warning models: An updated review and lessons from the COVID-19 pandemic
June 2025
An early warning model for infectious diseases is a crucial tool for timely monitoring, prevention, and control of disease outbreaks. The integration of diverse multi-source data using big data and...
Application of multiple linear regression model and long short-term memory with compartmental model to forecast dengue cases in Selangor, Malaysia based on climate variables
March 2025
Despite the implementation of various initiatives, dengue remains a significant public health concern in Malaysia. Given that dengue has no specific treatment, dengue prediction remains a useful early...
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...
Modelling the effect of long-lasting insecticidal nets on malaria transmission dynamics in Kebbi State, Nigeria
September 2026
Malaria, in Nigeria, is a disease of public health concern that has caused both morbidity and mortality, with the highest prevalence in Kebbi State. Long-lasting insecticidal nets (LLINs) have been...
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...
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...
Dynamic properties of an SARS-CoV-2 epidemic model via stochastic PINNs
September 2026
This paper introduces a novel stochastic SEIRV model for investigating the spread of the SARS-CoV-2 epidemic using stochastic physics-informed neural networks (S-PINNs). We first prove the global positivity...
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...
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....
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,...
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...
Estimation of the exponential growth rate of an epidemic
September 2026
Accurate estimation of the initial growth rate of an epidemic is critical for assessing transmissibility and guiding early interventions. Standard regression-based methods, such as negative binomial...
Fitting dynamic models to epidemic outbreaks with quantified uncertainty: A primer for parameter uncertainty, identifiability, and forecasts
August 2017
Mathematical models provide a quantitative framework with which scientists can assess hypotheses on the potential underlying mechanisms that explain patterns in observed data at different spatial and...
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....
Symptom-based diagnostic models for common respiratory viral infections: a machine learning and natural language processing study
December 2026
This study aimed to develop an efficient and cost-saving diagnostic approach using natural language processing and explainable machine learning models....
A novel mathematical modeling and optimal control analysis of monkeypox transmission incorporating double-dose vaccination strategies: Insights from the recent outbreak
December 2026
Monkeypox (Mpox) has re-emerged as a serious global public health concern due to its potential human-to-human transmission and persistence in the environment. This study develops a new deterministic...
Data-driven model analysis of the impact of environmental and socioeconomic factors on tuberculosis incidence
September 2026
Tuberculosis (TB), a global infectious disease, poses a formidable challenge to Taiwan, China, exacerbated by its aging demographic and the incursion of pathogens from Southeast Asia's high-risk districts....
Outfitting the quest for spatial spread of infections: A review of mobility datasets for population health modelling
September 2026
Understanding the spatial dynamics of infectious disease spread is essential for modeling population health. A key component in such modeling is human mobility data, which informs how infections propagate...
Quantitative risk assessment of avian influenza: A scoping review
December 2026
Avian influenza virus (AIV) continues to pose serious risks to animal and public health. Understanding its spread requires integrating ecological, agricultural, and human information. Quantitative models...
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...
