000126759 001__ 126759
000126759 005__ 20241125101137.0
000126759 0247_ $$2doi$$a10.1016/j.amc.2023.128122
000126759 0248_ $$2sideral$$a134066
000126759 037__ $$aART-2023-134066
000126759 041__ $$aeng
000126759 100__ $$aSelva Castañeda, Antonio Rafael
000126759 245__ $$aModified SEIR epidemic model including asymptomatic and hospitalized cases with correct demographic evolution
000126759 260__ $$c2023
000126759 5060_ $$aAccess copy available to the general public$$fUnrestricted
000126759 5203_ $$aThe aim of this study is to propose a modified Susceptible-Exposed-Infectious-Removed (SEIR) model that describes the time behaviour of symptomatic, asymptomatic and hospitalized patients in an epidemic, taking into account the effect of the demographic evolution. Unlike most of the recent studies where a constant ratio of new individuals is considered, we consider a more correct assumption that the growth ratio is proportional to the total population, following a Logistic law, as is usual in population growth studies for humans and animals. An exhaustive theoretical study is carried out and the basic reproduction number is computed from the model equations. It is proved that if then the disease-free manifold is globally asymptotically stable, that is, the epidemics remits. Global and local stability of the equilibrium points is also studied. Numerical simulations are used to show the agreement between numerical results and theoretical properties. The model is fitted to experimental data corresponding to the pandemic evolution of COVID-19 in the Republic of Cuba, showing a proper behaviour of infected cases which let us think that can provide a correct estimation of asymptomatic cases. In conclusion, the model seems to be an adequate tool for the study and control of infectious diseases.
000126759 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2019-109045GB-C31
000126759 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000126759 590__ $$a3.5$$b2023
000126759 592__ $$a1.026$$b2023
000126759 591__ $$aMATHEMATICS, APPLIED$$b10 / 332 = 0.03$$c2023$$dQ1$$eT1
000126759 593__ $$aComputational Mathematics$$c2023$$dQ1
000126759 593__ $$aApplied Mathematics$$c2023$$dQ1
000126759 594__ $$a7.9$$b2023
000126759 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000126759 700__ $$aRamírez-Torres, Erick Eduardo
000126759 700__ $$aValdés-García, Luis Eugenio
000126759 700__ $$aMorandeira-Padrón, Hilda María
000126759 700__ $$aYanez, Diana Sedal
000126759 700__ $$0(orcid)0000-0001-6120-4427$$aMontijano, Juan I.$$uUniversidad de Zaragoza
000126759 700__ $$aBergues Cabrales , Luis Enrique
000126759 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000126759 773__ $$g456 (2023), 128122 [23 pp.]$$pAppl. math. comput.$$tApplied Mathematics and Computation$$x0096-3003
000126759 8564_ $$s4007716$$uhttps://zaguan.unizar.es/record/126759/files/texto_completo.pdf$$yVersión publicada
000126759 8564_ $$s1888544$$uhttps://zaguan.unizar.es/record/126759/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000126759 909CO $$ooai:zaguan.unizar.es:126759$$particulos$$pdriver
000126759 951__ $$a2024-11-22-12:01:14
000126759 980__ $$aARTICLE