• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Wang, Zuwen (Wang, Zuwen.) [1] | Cai, Shaojian (Cai, Shaojian.) [2] | Chen, Guangmin (Chen, Guangmin.) [3] | Zheng, Kuicheng (Zheng, Kuicheng.) [4] | Wei, Fengying (Wei, Fengying.) [5] (Scholars:魏凤英) | Jin, Zhen (Jin, Zhen.) [6] | Mao, Xuerong (Mao, Xuerong.) [7] | Xie, Jianfeng (Xie, Jianfeng.) [8]

Indexed by:

Scopus SCIE

Abstract:

A vector-host model of dengue with multiple stages and independent fluctuations is investigated in this paper. Firstly, the existence and uniqueness of the positive solution are shown by contradiction. When the death rates of aquatic mosquitoes, adult mosquitoes, and human beings respectively control the intensities of white noises, and if R-0(s)>1, then the persistence in the mean for both infective mosquitoes and infective human beings is derived. When R-0(s)>1 is valid, the existence of stationary distribution is derived through constructing several appropriate Lyapunov functions. If the intensities of white noises are controlled and phi<0 is valid, then the extinction for both infective mosquitoes and infective human beings is obtained by applying the comparison theorem and ergodic theorem. Further, the main findings are verified through numerical simulations by using the positive preserving truncated Euler-Maruyama method (PPTEM). Moreover, several numerical simulations on the infection scale of dengue in Fuzhou City were conducted using surveillance data. The main results indicate that the decrease in the transfer proportion from aquatic mosquitoes to adult mosquitoes reduces the infection scale of infective human beings with dengue virus, and the death rates of aquatic mosquitoes and adult mosquitoes affect the value of the critical threshold R0s. Further, the controls of the death rates of mosquitoes are the effective routes by the decision-makers of the Chinese mainland against the spread of dengue.

Keyword:

dengue multi stage persistence and extinction PPTEM method stationary distribution stochastic vector-host model

Community:

  • [ 1 ] [Wang, Zuwen]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China
  • [ 2 ] [Wei, Fengying]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China
  • [ 3 ] [Cai, Shaojian]Fujian Prov Ctr Dis Control & Prevent, Fuzhou 350012, Peoples R China
  • [ 4 ] [Chen, Guangmin]Fujian Prov Ctr Dis Control & Prevent, Fuzhou 350012, Peoples R China
  • [ 5 ] [Zheng, Kuicheng]Fujian Prov Ctr Dis Control & Prevent, Fuzhou 350012, Peoples R China
  • [ 6 ] [Xie, Jianfeng]Fujian Prov Ctr Dis Control & Prevent, Fuzhou 350012, Peoples R China
  • [ 7 ] [Wei, Fengying]Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Peoples R China
  • [ 8 ] [Wei, Fengying]Fuzhou Univ, Ctr Appl Math Fujian Prov, Fuzhou 350116, Peoples R China
  • [ 9 ] [Jin, Zhen]Shanxi Univ, Complex Models Res Ctr, Taiyuan 030006, Peoples R China
  • [ 10 ] [Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Scotland
  • [ 11 ] [Xie, Jianfeng]Fujian Med Univ, Publ Hlth Sch, Fuzhou 350122, Peoples R China

Reprint 's Address:

  • [Wei, Fengying]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China;;[Xie, Jianfeng]Fujian Prov Ctr Dis Control & Prevent, Fuzhou 350012, Peoples R China;;[Wei, Fengying]Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Peoples R China;;[Wei, Fengying]Fuzhou Univ, Ctr Appl Math Fujian Prov, Fuzhou 350116, Peoples R China;;[Jin, Zhen]Shanxi Univ, Complex Models Res Ctr, Taiyuan 030006, Peoples R China;;[Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Scotland;;[Xie, Jianfeng]Fujian Med Univ, Publ Hlth Sch, Fuzhou 350122, Peoples R China;;

Show more details

Related Keywords:

Related Article:

Source :

MATHEMATICS

Year: 2024

Issue: 16

Volume: 12

2 . 3 0 0

JCR@2023

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

Online/Total:96/10068269
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1