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In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we…

Populations and Evolution · Quantitative Biology 2025-10-27 Javier López-de-la-Cruz , Susana Merchán , Felipe Rivero , Javier Rodrigo

The Ebola virus is currently one of the most virulent pathogens for humans. The latest major outbreak occurred in Guinea, Sierra Leonne and Liberia in 2014. With the aim of understanding the spread of infection in the affected countries, it…

Populations and Evolution · Quantitative Biology 2015-03-26 Amira Rachah , Delfim F. M. Torres

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

The rising proportion of Plasmodium vivax cases concentrated in forest-fringe areas across the Greater Mekong Subregion highlights the importance of pharmaceutical and mosquito control techniques specifically targeted towards forest-going…

Quantitative Methods · Quantitative Biology 2025-06-13 Shoshana Elgart , Mark B. Flegg , Jennifer A. Flegg

Since the end of 2019, COVID-19 has significantly affected the lives of people around the world. Towards the end of 2020, several COVID-19 vaccine candidates with relatively high efficacy have been reported in the final phase of clinical…

Physics and Society · Physics 2021-01-20 W. K. Wong , Filbert H. Juwono , Tock H. Chua

${\bf Background:}$ The early growth dynamics of the West African Ebola virus epidemic has been qualitatively different for Guinea, Sierra Leone and Liberia. However, it is important to understand these disparate dynamics as trends of a…

Populations and Evolution · Quantitative Biology 2014-10-21 Maria Kiskowski

The 2014 Ebola virus (EBOV) outbreak in West Africa is the largest outbreak of the genus Ebolavirus to date. To better understand the spread of infection in the affected countries, it is crucial to know the number of secondary cases…

Populations and Evolution · Quantitative Biology 2016-05-25 Christian L. Althaus

The COVID-19 pandemic led to widespread interest in epidemiological models. In this context the role of vaccination in influencing the spreading of the disease is of particular interest. There has also been a lot of debate on the role of…

Dynamical Systems · Mathematics 2023-07-25 Aytül Gökçe , Burcu Gürbüz , Alan D. Rendall

We investigate a mathematical model in crop pest management, considering plant biomass, pest, and the effect of farming awareness. The pest population is divided into two compartments: susceptible pest and infected pest. We assume that the…

Optimization and Control · Mathematics 2021-03-30 Teklebirhan Abraha , Fahad Al Basir , Legesse Lemecha Obsu , Delfim F. M. Torres

The study of epidemiological systems has generated deep interest in exploring the dynamical complexity of common infectious diseases driven by seasonally varying contact rates. Mathematical modeling and field observations have shown that,…

Dynamical Systems · Mathematics 2021-12-22 Jorge Duarte , Cristina Januário , Nuno Martins , Jesús Seoane , Miguel AF Sanjuán

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

Plasmodium vivax populations are more resistant to malaria control strategies than Plasmodium falciparum, maintaining high genetic diversity and gene flow even at low transmission. To quantify the impact of declining transmission on P.…

Aedes aegypti is known as the responsible vector transmitting dengue flavivirus. Unavailability of medication to cure the transmission of the virus in the human blood becomes a global health issue in recent decades. World epidemiologists…

Populations and Evolution · Quantitative Biology 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

As new COVID-19 variants continue to emerge globally, we develop an SISI-type mathematical model to determine whether the transmission risks arising when such a new variant enters Indonesia can be mitigated by solely accelerating the…

Dynamical Systems · Mathematics 2023-09-04 Benny Yong , Jonathan Hoseana , Livia Owen

We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional generalization we introduced in previous works. In this…

Dynamical Systems · Mathematics 2022-11-29 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

In a scenario where there is no vaccine for COVID-19, non-pharmaceutical interventions are necessary to contain the spread of the virus and the collapse of the health system in the affected regions. One of these measures is social…

Accurate prediction of the number of daily or weekly confirmed cases of COVID-19 is critical to the control of the pandemic. Existing mechanistic models nicely capture the disease dynamics. However, to forecast the future, they require the…

Quantitative Methods · Quantitative Biology 2022-03-10 Xiunan Wang , Hao Wang , Pouria Ramazi , Kyeongah Nah , Mark Lewis

A simple analytical model for modeling the evolution of the 2020 COVID-19 pandemic is presented. The model is based on the numerical solution of the widely used Susceptible-Infectious-Removed (SIR) populations model for describing…

Populations and Evolution · Quantitative Biology 2020-08-26 Efthimios Kaxiras , George Neofotistos , Eleni Angelaki

The mainstay of canine rabies control is fixed point mass dog vaccination campaigns (MDVC). However, in some regions, ideal vaccination coverage in dogs is not obtained due to low participation in the MDVC. Travel distance to the…

Since COVID-19 vaccines became available, no studies have quantified how different disaster evacuation strategies can mitigate pandemic risks in shelters. Therefore, we applied an age-structured epidemiological model, known as the…

Populations and Evolution · Quantitative Biology 2022-08-30 Yi-Lin Tsai , Dymasius Y. Sitepu , Karyn E. Chappell , Rishi P. Mediratta , C. Jason Wang , Peter K. Kitanidis , Christopher B. Field