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We analyze an epidemiological model to evaluate the effectiveness of multiple means of control in malaria-endemic areas. The mathematical model consists of a system of several ordinary differential equations, and is based on a…

种群与进化 · 定量生物学 2023-06-28 Jean Claude Kamgang , Christopher Thron

Malaria is one of the deadliest infectious diseases globally, causing hundreds of thousands of deaths each year. It disproportionately affects young children, with two-thirds of fatalities occurring in under-fives. Individuals acquire…

种群与进化 · 定量生物学 2023-06-07 Zhuolin Qu , Denis Patterson , Lauren Childs , Christina Edholm , Joan Ponce , Olivia Prosper , Lihong Zhao

Background. Health economic evaluations of interventions against infectious diseases are commonly based on the predictions of ordinary differential equation (ODE) systems or Markov models (MMs). Standard MMs are static, whereas ODE systems…

统计方法学 · 统计学 2018-09-05 Katrin Haeussler , Ardo van den Hout , Gianluca Baio

This paper introduces a novel hybrid model combining Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs) to simulate infectious disease dynamics across geographic regions. By leveraging the spatial detail of…

动力系统 · 数学 2025-11-18 Kristina Kehrer , Martin Weiser , Tim Conrad

Coupling within-host infection dynamics with population-level transmission remains a major challenge in infectious disease modeling, especially for airborne pathogens with potential to spread indoor. The frequent emergence of such diseases…

偏微分方程分析 · 数学 2025-12-18 Andrew Omame , Sarafa Iyaniwura

Artemisinin resistance constitutes a major threat to the continued success of control programs for malaria. With alternative antimalarial drugs not yet available, improving our understanding of how artemisinin-based drugs act and how…

We establish some properties of a within host mathematical model of malaria proposed by Recker et al which includes the role of the immune system during the infection. The model accounts for the antigenic variation exhibited by the malaria…

细胞行为 · 定量生物学 2007-08-01 Patrick De Leenheer , Sergei S. Pilyugin

Partial differential equation (PDE) models for infectious diseases, while less common than their ordinary differential equation (ODE) counterparts, have found successful applications for many years. Such models are typically of…

种群与进化 · 定量生物学 2026-01-27 Alex Viguerie , Malú Grave , Alvaro L. G. A. Coutinho , Alessandro Veneziani , Thomas J. R. Hughes

We propose and analyze an epidemiological model for vector borne diseases that integrates a multi-stage vector population and several host sub-populations which may be characterized by a variety of compartmental model types: subpopulations…

种群与进化 · 定量生物学 2023-06-28 Francis G. T. Kamba , Leonard C. Eze , Jean Claude Kamgang , Christopher P. Thron

The study of infectious disease propagation is essential for understanding and controlling epidemics. One of the most useful tools for gaining insights into the spread of infectious diseases is mathematical modelling. In terms of…

Dengue is a vector-borne viral disease increasing dramatically over the past years due to improvement in human mobility. The movement of host individuals between and within the patches are captured via a residence-time matrix. A system of…

种群与进化 · 定量生物学 2018-10-04 Wolfgang Bock , Yashika Jayathunga

Mycobacterium tuberculosis infection can involve all immune system components and can result in different disease outcomes. The antibiotic TB drugs require strict adherence to prevent both disease relapse and mutation of drug- and…

动力系统 · 数学 2021-12-16 Wenjing Zhang

Plasmodium falciparum is responsible for the majority of malaria morbidity and mortality each year. Malaria transmission rates vary by location and time of year due to climate and environmental conditions. We show the impact of these…

Ordinary differential equations (ODE) are a popular tool to model the spread of infectious diseases, yet they implicitly assume an exponential distribution to describe the flow from one infection state to another. However, scientific…

数值分析 · 数学 2025-10-13 Anna Wendler , Lena Plötzke , Hannah Tritzschak , Martin J. Kühn

Malaria control strategies aiming at reducing disease transmission intensity may impact both oocyst intensity and infection prevalence in the mosquito vector. Thus far, mathematical models failed to identify a clear relationship between…

统计理论 · 数学 2011-02-24 Robin Genuer , Isabelle Morlais , Wilson Toussile

Accurate detection of Plasmodium falciparum in Giemsa-stained blood smears is an essential component of reliable malaria diagnosis, especially in developing countries. Deep learning-based object detection methods have demonstrated strong…

计算机视觉与模式识别 · 计算机科学 2025-11-17 Frauke Wilm , Luis Carlos Rivera Monroy , Mathias Öttl , Lukas Mürdter , Leonid Mill , Andreas Maier

The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent…

种群与进化 · 定量生物学 2023-12-12 Shoshana Elgart , Mark B. Flegg , Somya Mehra , Jennifer A. Flegg

We present a mathematical model based on a system of partial differential equations (PDEs) with cross-diffusion and reaction terms to describe ecological interactions between multiple bacterial species and substrates within microaggregates,…

种群与进化 · 定量生物学 2025-12-16 Viktoria Freingruber , Rebeca Gonzalez-Cabaleiro , Havva Yoldaş

We present a unifying, tractable approach for studying the spread of viruses causing complex diseases requiring to be modeled using a large number of types (e.g., infective stage, clinical state, risk factor class). We show that recording…

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