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Malaria is a potentially fatal plasmodium parasite injected by female anopheles mosquitoes that infect red blood cells and millions worldwide yearly. However, specialists' manual screening in clinical practice is laborious and prone to…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Saddam Hussain Khan , Tahani Jaser Alahmadi

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…

We study a dynamics of the epidemiological infection spreading at different values of the risk factor $\beta$ (a control parameter) with the using of dynamic Monte Carlo approach (DMC). In our toy model, the infection transmits due to…

Physics and Society · Physics 2020-06-01 Gennadiy Burlak

Malaria is a female anopheles mosquito-bite inflicted life-threatening disease which is considered endemic in many parts of the world. This article focuses on improving malaria detection from patches segmented from microscopic images of red…

Image and Video Processing · Electrical Eng. & Systems 2019-07-25 Aimon Rahman , Hasib Zunair , M Sohel Rahman , Jesia Quader Yuki , Sabyasachi Biswas , Md Ashraful Alam , Nabila Binte Alam , M. R. C. Mahdy

In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are…

Analysis of PDEs · Mathematics 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

We present a local spread model of disease transmission on a regular network and compare different control options ranging from treating the whole population to local control in a well-defined neighborhood of an infectious individual.…

Biological Physics · Physics 2015-05-30 Katarzyna Oles , Ewa Gudowska-Nowak , Adam Kleczkowski

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive…

Dynamical Systems · Mathematics 2020-12-30 R. Anguelov , Y. Dumont , V. Yatat

Dengue transmission is shaped by the population dynamics of the Aedes aegypti mosquito, making vector control a central strategy for disease mitigation. The impact of interventions such as larvicide, adulticide, and breeding-site reduction…

Dynamical Systems · Mathematics 2026-05-13 Aram Vajdi , Lee W. Cohnstaedt , Caterina M. Scoglio , Heman Shakeri

An epidemic model with distributed time delay is derived to describe the dynamics of infectious diseases with varying immunity. It is shown that solutions are always positive, and the model has at most two steady states: disease-free and…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko

We study a multi-group SAIRS-type epidemic model with vaccination. The role of asymptomatic and symptomatic infectious individuals is explicitly considered in the transmission pattern of the disease among the groups in which the population…

Dynamical Systems · Mathematics 2023-05-23 Stefania Ottaviano , Mattia Sensi , Sara Sottile

Avian Spirochaetosis is an acute endemic tick-borne disease of birds, caused by Borrelia anserins, a species of Borrelia bacteria. In this paper, we present a compartmental Mathematical model of the disease for the bird population and Tick…

Optimization and Control · Mathematics 2018-02-13 Joy I. Uwakwe , Simeon C. Inyama , Blessing O. Emerenini

In this study, we develop and analyze a nested multi-scale model for COVID -19 disease that integrates within-host scale and between-host scale sub-models. First, the well-posedness of the multi-scale model is discussed, followed by the…

Dynamical Systems · Mathematics 2021-08-30 Bishal Chhetri , D. K. K Vamsi , Carani Sanjeevi

The host's odor serves as a critical biological tracking signal in the host-seeking process of mosquitoes, and its heterogeneity significantly influences the transmission of mosquito-borne diseases. In this study, we propose a…

Populations and Evolution · Quantitative Biology 2025-09-30 Haonan Zhong , Marina Lima , Andrea Pugliese , Michela Sabbatino , Cinzia Soresina , Tamas Tekeli

Controlling diseases such as dengue fever, chikungunya and zika fever by introduction of the intracellular parasitic bacterium Wolbachia in mosquito populations which are their vectors, is presently quite a promising tool to reduce their…

Optimization and Control · Mathematics 2019-03-05 Pierre-Alexandre Bliman

Aedes Aegypti is the vector of several deadly diseases, including Zika. Effective and sustainable vector control measures must be deployed to keep A. aegypti numbers under control. The distribution of A. Aegypti is subject to spatial and…

Populations and Evolution · Quantitative Biology 2016-08-05 Chathika Gunaratne , Mustafa Ilhan Akbas , Ivan Garibay , Ozlem Ozmen

A general system of difference equations is presented for multispecies communities with density dependent population growth and delayed maturity. Interspecific competition, mutualism, predation, commensalism, and amensalism are…

Populations and Evolution · Quantitative Biology 2025-09-03 Geoffrey R. Hosack , Maud El-Hachem , Nicholas J. Beeton

Malaria is an infectious disease affecting a large population across the world, and interventions need to be efficiently applied to reduce the burden of malaria. We develop a framework to help policy-makers decide how to allocate limited…

Applications · Statistics 2020-03-12 Qian Guan , Brian J. Reich , Eric B. Laber

This work is devoted to the mathematical study of an optimization problem regarding control strategies of mosquito population in a heterogeneous environment. Mosquitoes are well-known vectors of diseases. For some diseases, such as dengue,…

Optimization and Control · Mathematics 2025-03-11 Luis Almeida , Jesús Bellver Arnau , Gwenaël Peltier , Nicolas Vauchelet

In this paper, we derive and analyse a model for the control of arboviral diseases which takes into account an imperfect vaccine combined with some other mechanisms of control already studied in the literature. We begin by analyse the basic…

Dynamical Systems · Mathematics 2016-01-12 Hamadjam Abboubakar , Jean-Claude Kamgang , Daniel Tieudjo