A stochastic model for malaria and its behavior under insecticide-treated nets

被引：1

作者：

Dordevic, Jasmina ^{[1
,2
]}

机构：

[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish, Serbia

[2] Univ Oslo, Fac Math & Nat Sci, N-0316 Oslo, Norway

来源：

STUDIES IN APPLIED MATHEMATICS | 2022年 / 149卷 / 03期

关键词：

Brownian motion; extinction; insecticide-treated nets; malaria; persistence; positivity; stochastic nonlinear model; simulations; SIS EPIDEMIC MODEL; THRESHOLD; SPREAD;

D O I：

10.1111/sapm.12515

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stochastic model for malaria transmission is introduced, and its behavior under insecticide-treated nets (which is used as a prevention) is considered. A white noise is introduced into the model, representing fluctuations in the environment that manifest themselves naturally on the transmission coefficient rate. Existence and uniqueness of a global positive solution of the stochastic model are proved, as well as the conditions under which extinction and persistence in mean hold are establish. Numerical simulations are provided, which illustrate that the theoretical results and conclusions are derived on the impact of the fluctuations that are caused by the environment.

引用

页码：631 / 656

页数：26

共 44 条

[1] Household possession, use and non-use of treated or untreated mosquito nets in two ecologically diverse regions of Nigeria-Niger Delta and Sahel Savannah [J].

Afolabi, Bamgboye M. ;

Sofola, Olayemi T. ;

Fatunmbi, Bayo S. ;

Komakech, William ;

Okoh, Festus ;

Saliu, Oladele ;

Otsemobor, Peju ;

Oresanya, Olusola B. ;

Amajoh, Chioma N. ;

Fasiku, David ;

Jalingo, Inuwa .

MALARIA JOURNAL, 2009, 8

[2] An Epidemiological Model of Malaria Accounting for Asymptomatic Carriers [J].

Aguilar, Jacob B. ;

Gutierrez, Juan B. .

BULLETIN OF MATHEMATICAL BIOLOGY, 2020, 82 (03)

[3] Control Strategies for the Spread of Malaria in Humans With Variable Attractiveness [J].

Agusto, Folashade B. ;

Tchuenche, Jean M. .

MATHEMATICAL POPULATION STUDIES, 2013, 20 (02) :82-100

[4] The impact of bed-net use on malaria prevalence [J].

Agusto, Folashade B. ;

Del Valle, Sara Y. ;

Blayneh, Kbenesh W. ;

Ngonghala, Calistus N. ;

Goncalves, Maria J. ;

Li, Nianpeng ;

Zhao, Ruijun ;

Gong, Hongfei .

JOURNAL OF THEORETICAL BIOLOGY, 2013, 320 :58-65

[5]

Ajegena BK., SYSTEMATIC REV J INF, V6, P140, DOI [10.23937/2474-3658/1510140, DOI 10.23937/2474-3658/1510140]

[6] Critical behavior in a stochastic model of vector mediated epidemics [J].

Alfinito, E. ;

Beccaria, M. ;

Macorini, G. .

SCIENTIFIC REPORTS, 2016, 6

[7]

[Anonymous], 2014, WHO Guidance for Countries on Combining Indoor Residual Spraying and Long-Lasting Insecticidal Nets

[8] Modelling Malaria Transmission in a Population with SEIRSp Method [J].

Baihaqi, Muhamad Adzib ;

Adi-Kusumo, Fajar .

SYMPOSIUM ON BIOMATHEMATICS 2019 (SYMOMATH 2019), 2020, 2264

[9]

Cesari L., 1983, Optimization-Theory and Applications: Problems with Ordinary Differential Equations, V17

[10] THE MATHEMATICAL-THEORY OF OPTIMAL PROCESSES - PONTRYAGIN,LS, BOLTYANSKII,VG, GAMKRELIDZE,RV, MISHCHENKO,EF [J].

CHAMBERS, ML .

OPERATIONAL RESEARCH QUARTERLY, 1965, 16 (04) :493-494

← 1 2 3 4 5 →