Open AccessTransmission dynamics of Zika virus incorporating harvesting
Author(s) -
Zong Min Yue,
Fauzi Mohamed Yusof,
Sabarina Shafie
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020327
Subject(s) - transmission (telecommunications) , zika virus , basic reproduction number , constant (computer programming) , dynamics (music) , stability (learning theory) , biology , virus , ecology , virology , computer science , telecommunications , physics , medicine , population , environmental health , machine learning , acoustics , programming language
In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate the virus when the basic reproduction number $R_0$ is less than 1, but the constant harvesting strategy may control the virus whether the basic reproduction number is less than 1 or not. Epidemiologically, we find that increasing harvesting may stimulate an increase in the number of virus infections at some point, and harvesting can postpone the peak of disease transmission with the mortality of mosquito increasing. The results can provide us with some useful control strategies to regulate ZIKV dynamics.