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author:

Wang, Z. (Wang, Z..) [1] | Cai, S. (Cai, S..) [2] | Chen, G. (Chen, G..) [3] | Zheng, K. (Zheng, K..) [4] | Wei, F. (Wei, F..) [5] | Jin, Z. (Jin, Z..) [6] | Mao, X. (Mao, X..) [7] | Xie, J. (Xie, J..) [8]

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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 (Formula presented.), then the persistence in the mean for both infective mosquitoes and infective human beings is derived. When (Formula presented.) is valid, the existence of stationary distribution is derived through constructing several appropriate Lyapunov functions. If the intensities of white noises are controlled and (Formula presented.) 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 (Formula presented.). 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. © 2024 by the authors.

Keyword:

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

Community:

  • [ 1 ] [Wang Z.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
  • [ 2 ] [Cai S.]Fujian Provincial Center for Disease Control and Prevention, Fuzhou, 350012, China
  • [ 3 ] [Chen G.]Fujian Provincial Center for Disease Control and Prevention, Fuzhou, 350012, China
  • [ 4 ] [Zheng K.]Fujian Provincial Center for Disease Control and Prevention, Fuzhou, 350012, China
  • [ 5 ] [Wei F.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
  • [ 6 ] [Wei F.]Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou University, Fuzhou, 350116, China
  • [ 7 ] [Wei F.]Center for Applied Mathematics of Fujian Province, Fuzhou University, Fuzhou, 350116, China
  • [ 8 ] [Jin Z.]Complex Models Research Center, Shanxi University, Taiyuan, 030006, China
  • [ 9 ] [Mao X.]Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, United Kingdom
  • [ 10 ] [Xie J.]Fujian Provincial Center for Disease Control and Prevention, Fuzhou, 350012, China
  • [ 11 ] [Xie J.]Public Health School, Fujian Medical University, Fuzhou, 350122, China

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Source :

Mathematics

ISSN: 2227-7390

Year: 2024

Issue: 16

Volume: 12

2 . 3 0 0

JCR@2023

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

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ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 0

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