Publicação: A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL
dc.contributor.author | Pio Dos Santos, Fernando luiz [UNESP] | |
dc.contributor.author | Bendahmane, Mostafa | |
dc.contributor.author | Erraji, Elmahdi | |
dc.contributor.author | Karami, Fahd | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.contributor.institution | Bordeaux Univ | |
dc.contributor.institution | Univ Bordeaux | |
dc.contributor.institution | Univ Cadi Ayyad | |
dc.date.accessioned | 2023-07-29T11:51:07Z | |
dc.date.available | 2023-07-29T11:51:07Z | |
dc.date.issued | 2023-05-26 | |
dc.description.abstract | In this paper, we developed an optimal control of a reaction-diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, including a compartment for the aquatic phase of mosquitoes. This enabled us to discuss the vertical transmission effects on the spread of the disease in a two-dimensional domain, using demographic data for different scenarios. The model was analyzed, establishing the existence and convergence of the weak solution for the model. The convergence of the numerical scheme to the weak solution was proved. For numerical approximation, we adopted the finite element scheme to solve direct and adjoint state systems. We also used the nonlinear gradient descent method to solve the optimal control problem, where the optimal management of government investment was proposed and leads to more effective dengue fever infection control. These results may help us understand the complex dynamics driven by dengue and assess the public health policies in the control of the disease. | en |
dc.description.affiliation | Sao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil | |
dc.description.affiliation | Bordeaux Univ, INRIA Carmen Bordeaux Sud Ouest, Inst Math Bordeaux IMB, Talence, France | |
dc.description.affiliation | Univ Bordeaux, Inst Rythmol & Modelisat Cardiaque Liryc Bordeaux, Talence, France | |
dc.description.affiliation | Univ Cadi Ayyad, Ecole Super Technol Essaouira, BP 383 Essaouira El Jadida, Essaouira, Morocco | |
dc.description.affiliationUnesp | Sao Paulo State Univ UNESP, Inst Biosci Botucatu IBB, BR-18618970 Sao Paulo, Brazil | |
dc.description.sponsorship | Funda��o de Amparo � Pesquisa do Estado de S�o Paulo (FAPESP) | |
dc.description.sponsorshipId | FAPESP: 2018/03116-3 | |
dc.format.extent | 29 | |
dc.identifier | http://dx.doi.org/10.1142/S0218339023300026 | |
dc.identifier.citation | Journal of Biological Systems. Singapore: World Scientific Publ Co Pte Ltd, 29 p., 2023. | |
dc.identifier.doi | 10.1142/S0218339023300026 | |
dc.identifier.issn | 0218-3390 | |
dc.identifier.uri | http://hdl.handle.net/11449/245309 | |
dc.identifier.wos | WOS:000995677300001 | |
dc.language.iso | eng | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.ispartof | Journal Of Biological Systems | |
dc.source | Web of Science | |
dc.subject | Epidemic Model | |
dc.subject | Reaction-Diffusion System | |
dc.subject | Aedes | |
dc.subject | Optimal Control | |
dc.title | A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL | en |
dc.type | Artigo | |
dcterms.rightsHolder | World Scientific Publ Co Pte Ltd | |
dspace.entity.type | Publication |