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Many models of within-host malaria infection dynamics have been formulated since the pioneering work of Anderson et al. in 1989. Biologically, the goal of these models is to understand what governs the severity of infections, the patterns…

Analysis of PDEs · Mathematics 2022-02-18 Ramsès Djidjou-Demasse , Arnaud Ducrot , Nicole Mideo , Gaëtan Texier

Asymptomatic individuals in the context of malarial disease refers to subjects who carry a parasite load but do not show clinical symptoms. A correct understanding of the influence of asymptomatic individuals on transmission dynamics will…

Populations and Evolution · Quantitative Biology 2017-02-20 Jacob B. Aguilar , Juan B. Gutierrez

We propose a compartmental model for vector-transmitted diseases, such as Malaria and Dengue, spreading over complex networks. Individuals are represented by independent random walkers and vectors by infected nodes. Both walkers and nodes…

Populations and Evolution · Quantitative Biology 2025-05-05 Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos

According to the WHO, in 2021, about 32% of pregnant women in sub-Saharan Africa were infected with malaria during pregnancy. Malaria infection during pregnancy can cause various adverse birth outcomes such as low birthweight. Over the past…

We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered/Removed, and may migrate from one patch to another in any…

Probability · Mathematics 2023-08-21 Guodong Pang , Etienne Pardoux

A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The…

Classical Analysis and ODEs · Mathematics 2013-11-14 Bruno Buonomo

Many malaria-endemic areas experience seasonal fluctuations in case incidence as Anopheles mosquito and Plasmodium parasite life cycles respond to changing environmental conditions. While most existing maps of malaria seasonality use fixed…

Malaria can be prevented, diagnosed, and treated; however, every year, there are more than 200 million cases and 200.000 preventable deaths. Malaria remains a pressing public health concern in low- and middle-income countries, especially in…

Machine Learning · Statistics 2023-03-20 África Periáñez , Andrew Trister , Madhav Nekkar , Ana Fernández del Río , Pedro L. Alonso

Malaria remains a major public health concern in Ethiopia, particularly in the Amhara Region, where seasonal and unpredictable transmission patterns make prevention and control challenging. Accurately forecasting malaria outbreaks is…

Other Quantitative Biology · Quantitative Biology 2025-10-03 Kassahun Azezew , Amsalu Tesema , Bitew Mekuria , Ayenew Kassie , Animut Embiale , Ayodeji Olalekan Salau , Tsega Asresa

Malaria remains endemic in tropical areas, especially in Africa. For the evaluation of new tools and to further ourunderstanding of host-parasite interactions, knowing the environmental risk of transmission-even at a very local…

This paper investigates the deterministic extinction and permanence of a family of SEIRS malaria models with multiple random delays, and with a general nonlinear incidence rate. The conditions for the extinction and permanence of the…

Populations and Evolution · Quantitative Biology 2020-05-05 Divine Wanduku , Broderick Oluyede

Malaria constitutes an important cause of human mortality. After 2009 Greece experienced a resurgence of malaria. Here, we develop a modelbased framework that integrates entomological, geographical, social and environmental evidence in…

In this paper we propose a malaria within-host model with k classes of age for the parasitized red blood cells and n strains for the parasite. We provide a global analysis for this model. A competitive exclusion principle holds. If R0, the…

Dynamical Systems · Mathematics 2011-01-06 Abderrahman Iggidr , Jean-Claude Kamgang , Gauthier Sallet , Jean-Jules Tewa

To investigate the combined effects of drug resistance, seasonality and vector-bias, we formulate a periodic two-strain reaction-diffusion model. It is a competitive system for resistant and sensitive strains, but the single-strain…

Dynamical Systems · Mathematics 2023-01-04 Huijie Chu , Zhenguo Bai

We study two simple mathematical models of the epidemic. At first, we study the repetitive infection spreading in a simplified SIRS model including the effect of the decay of the acquired immune. The model is an intermediate model of the…

Populations and Evolution · Quantitative Biology 2024-03-13 Hidetsugu Sakaguchi , Keito Yamasaki

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…

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

Dengue remains a major global public health concern due to its high mortality and economic burden. Mathematical modeling is essential to understand its transmission mechanisms and for evaluating intervention strategies. In this paper, we…

Populations and Evolution · Quantitative Biology 2026-04-28 Sourav Banerjee , Thomas Götz , Satyananda Panda

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…

Cell Behavior · Quantitative Biology 2007-08-01 Patrick De Leenheer , Sergei S. Pilyugin

Decline of immunity is a phenomenon characterized by immunocompromised host and plays a crucial role in the epidemiology of emerging infectious diseases (EIDs) such as COVID-19. In this paper, we propose an age-structured model with…

Dynamical Systems · Mathematics 2024-07-23 Shuanglin Jing , Ling Xue , Jichen Yang