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作 者:Liming Cai Peixia Yue Mini Ghosh Xuezhi Li
机构地区:[1]School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,P.R.China [2]School of Advanced Sciences,Vellore Institute of Technology,Chennai 600127,India [3]College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,P.R.China
出 处:《International Journal of Biomathematics》2021年第8期55-83,共29页生物数学学报(英文版)
基 金:This work was partially supported by the National Natural Sci-ence Foundation of China(11871415,11771017);Henan Province Distinguished Professor program.
摘 要:Schistosomiasis is a snail-borne parasitic disease,which is affecting almost 240 million people worldwide.The number of humans affected by schistosomiasis is continuously increasing with the rise in the use of agrochemicals.In this paper,a mathematical model is formulated and analyzed to assess the effect of agrochemicals on the transmission of schistosomiasis.The proposed model incorporates the effects of fertilizers,herbicides and insecticides on susceptible snails and snail predators along with schistosomiasis disease transmission.The existence and stability of the equilibria in the model are discussed.Sensitivity analysis is performed to identify the key parameters of the proposed model,which contributes most in the transmission of this disease.Numerical simulations are also performed to assess the impact of fertilizers,herbicides and insecticides on schistosomiasis outbreaks.Our study reveals that the agricultural pollution can enhance the transmission intensity of schistosomiasis,and in order to prevent the outbreak of schistosomiasis,the use of pesticides should be controlled.
关 键 词:SCHISTOSOMIASIS SNAIL snail predator agrochemicals sensitivity analysis
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