Эпидемическая модель малярии без вакцинации и при ее наличии. Ч. 1. Модель малярии без вакцинации

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Эпидемическая модель малярии без вакцинации и при ее наличии. Ч. 1. Модель малярии без вакцинации. / Ndiaye, S. M.; Parilina, E. M.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 18, No. 2, 2022, p. 263-277.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{1521946078da434997948c115de4825d,

title = "Эпидемическая модель малярии без вакцинации и при ее наличии. Ч. 1. Модель малярии без вакцинации",

abstract = "We propose a mathematical model of the malaria epidemic in the human population (host), where the transmission of the disease is produced by a vector population (mosquito) known as the malaria mosquito. The malaria epidemic model is defined by a system of ordinary differential equations. The host population at any time is divided into four sub-populations: susceptible, exposed, infectious, recovered. Sufficient conditions for stability of equilibrium without disease and endemic equilibrium are obtained using the Lyapunov's function theory. We define the reproductive number characterizing the level of disease spreading in the human population. Numerical modeling is made to study the influence of parameters on the spread of vector-borne disease and to illustrate theoretical results, as well as to analyze possible behavioral scenarios.",

keywords = "endemic equilibrium, epidemic model, human population, malaria, modification epidemic SEIR model, reproductive number, sub-populations",

author = "Ndiaye, {S. M.} and Parilina, {E. M.}",

year = "2022",

doi = "10.21638/11701/SPBU10.2022.207",

language = "русский",

volume = "18",

pages = "263--277",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "2",

}

RIS

TY - JOUR

T1 - Эпидемическая модель малярии без вакцинации и при ее наличии. Ч. 1. Модель малярии без вакцинации

AU - Ndiaye, S. M.

AU - Parilina, E. M.

PY - 2022

Y1 - 2022

N2 - We propose a mathematical model of the malaria epidemic in the human population (host), where the transmission of the disease is produced by a vector population (mosquito) known as the malaria mosquito. The malaria epidemic model is defined by a system of ordinary differential equations. The host population at any time is divided into four sub-populations: susceptible, exposed, infectious, recovered. Sufficient conditions for stability of equilibrium without disease and endemic equilibrium are obtained using the Lyapunov's function theory. We define the reproductive number characterizing the level of disease spreading in the human population. Numerical modeling is made to study the influence of parameters on the spread of vector-borne disease and to illustrate theoretical results, as well as to analyze possible behavioral scenarios.

AB - We propose a mathematical model of the malaria epidemic in the human population (host), where the transmission of the disease is produced by a vector population (mosquito) known as the malaria mosquito. The malaria epidemic model is defined by a system of ordinary differential equations. The host population at any time is divided into four sub-populations: susceptible, exposed, infectious, recovered. Sufficient conditions for stability of equilibrium without disease and endemic equilibrium are obtained using the Lyapunov's function theory. We define the reproductive number characterizing the level of disease spreading in the human population. Numerical modeling is made to study the influence of parameters on the spread of vector-borne disease and to illustrate theoretical results, as well as to analyze possible behavioral scenarios.

KW - endemic equilibrium

KW - epidemic model

KW - human population

KW - malaria

KW - modification epidemic SEIR model

KW - reproductive number

KW - sub-populations

UR - http://www.scopus.com/inward/record.url?scp=85139009525&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c48e41ab-947a-3763-8465-62db33b43f72/

U2 - 10.21638/11701/SPBU10.2022.207

DO - 10.21638/11701/SPBU10.2022.207

M3 - статья

AN - SCOPUS:85139009525

VL - 18

SP - 263

EP - 277

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 2

ER -

ID: 100063489