MATHEMATICAL ANALYSIS OF ZIKA VIRUS TRANSMISSION: EXPLORING SEMI-ANALYTICAL SOLUTIONS AND EFFECTIVE CONTROLS

被引：0

作者：

Dharmalingam, K. M. ^{[1
]}

Jeeva, N. ^{[1
]}

Ali, Nasir ^{[2
]}

Al-hamido, Riad k. ^{[3
,4
]}

Fadugba, Sunday emmanuel ^{[5
]}

Malesela, Kekana ^{[6
]}

Tolasa, Fikadu tesgera ^{[7
]}

El-bahkiry, Hesham s. ^{[8
]}

Qousini, Maysoon ^{[9
]}

机构：

[1] Madura Coll, PG & Res Dept Math, Madurai, Tamil Nadu, India

[2] COMSATS Univ Islamabad, Dept Math, Vehari Campus, Islamabad, Pakistan

[3] AlFurat Univ, Fac Sci, Deir Ez Zor, Syria

[4] Cordoba private Univ, Alqamishli branch, Aleppo, Syria

[5] Ekiti State Univ, Dept Math, Ado Ekiti 360001, Nigeria

[6] Tshwane Univ Technol, Dept Math, Pretoria, South Africa

[7] Dambidollo Univ, Dept Math, Dambidollo, Oromia, Ethiopia

[8] Jazan Univ, Coll Nursing & Hlth Sci, Dept Diag Radiog Technol, Jazan 45142, Saudi Arabia

[9] Al Zaytoonah Univ Jordan, Fac Sci & Informat Technol, Amman 11183, Jordan

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2024年

关键词：

Zika virus transmission; Taylor series method (TSM); new homotopy perturbation method (NHPM); system of nonlinear equation; semi-analytical solution; mathematical modeling; numerical simulation; LAPLACE ADOMIAN DECOMPOSITION; SEXUAL TRANSMISSION; DYNAMICS; MODEL;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper examined the mathematical model of Zika virus transmission, focusing on the impact of the virus on humans and mosquitoes. Human and mosquito populations involved in Zika virus transmission are divided into two categories: susceptible and infected. In addressing the nonlinear differential equation that governing Zika virus transmission, the Taylor series method (TSM) and the new Homotopy perturbation method (NHPM) were employed to derive semi-analytical solutions. Furthermore, for a comprehensive assessment of the nonlinear system behavior and the accuracy of the obtained solutions, a comparative analysis was performed using numeri- cal simulations. This comparative analysis enabled us to validate the results and to gain valuable insights into the behavior of the Zika virus transmission model under different conditions. Moreover, to decrease the number of in- fected human population, we analyzed the contact rate of Zika virus transmission between humans and mosquitoes, as well as between humans and humans.

引用

页数：19

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