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Modeling the initial phase of COVID-19 epidemic: The role of age and disease severity in the Basque Country, Spain
(2022-07-13)
Declared a pandemic by the World Health Organization (WHO), COVID-19 has spread rapidly around the globe. With eventually substantial global underestimation of infection, by the end of March 2022, more than 470 million ...
Modeling Dengue Immune Responses Mediated by Antibodies: Insights on the Biological Parameters to Describe Dengue Infections
(2022-03-18)
Dengue fever is a viral mosquito-borne disease, a significant global health concern, with more than one third of the world population at risk of acquiring the disease. Caused by 4 antigenically distinct but related virus ...
Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos
(2022-03-03)
We investigate models to describe respiratory diseases with fast mutating virus pathogens such that after some years the aquired resistance is lost and hosts can be infected with new variants of the pathogen. Such models ...
Modelling Holling type II functional response in deterministic and stochastic food chain models with mass conservation
(2022-03-01)
The Rosenzweig-MacArthur predator-prey model is the building block in modeling food chain, food webs and ecosystems. There are a number of hidden assumptions involved in the derivation. For instance the prey population ...
Mathematical models for dengue fever epidemiology: a 10-year systematic review
(2022-02-15)
Mathematical models have a long history in epidemiological research, and as the COVID-19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological ...
Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission
(2022-02-13)
Mathematical models play an important role in epidemiology. The inclusion of a spatial component in epidemiological models is especially important to understand and address many relevant ecological and public health ...
Deterministic and Stochastic Dynamics of COVID-19: The Case Study of Italy and Spain
(2022-02-13)
In December 2019, a severe respiratory syndrome (COVID-19) caused by a new coronavirus (SARS-CoV-2) was identified in China and spread rapidly around the globe. COVID-19 was declared a pandemic by the World Health Organization ...
Effect of General Cross-Immunity Protection and Antibody- Dependent Enhancement in Dengue Dynamics
(2022-02-13)
A mathematical model to describe the dynamic of a multiserotype infectious disease at the population level is studied. Applied to
dengue fever epidemiology, we analyse a mathematical model with time delay to describe the ...
Cross immunity protection and antibody-dependent enhancement in a distributed delay dynamic model
(2022-01-01)
Dengue fever is endemic in tropical and subtropical countries, and certain important features of the spread of dengue fever continue to pose challenges for mathematical modelling. Here we propose a system of integro-differential ...
Modeling and optimal control of dengue disease with screening and information
(2021-11-27)
This study presents a mathematical model for dengue transmission which quantifies two very important aspects: one, the impact of information-based behavioural response, and the other, the segregation of infected human ...