作者:Tongqian Zhang , Wanbiao Ma , Xinzhu Meng
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1), pp.1-17Springer
摘要:Abstract(#br)A mathematical model describing continuous microbial culture and harvest in a chemostat, incorporating a control strategy and defined by impulsive differential equations, is presented and investigated. Theoretical results indicate that the model has a microbe-extinct...
作者:Tongqian Zhang , Wei Wang
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1), pp.1-27Springer
摘要:Abstract(#br)In this paper, a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis is proposed and analysed. We explain the effects of stochastic disturbance on disease transmission. To this end, firstly, we investigated the dynamic propertie...
作者:... Suping Sun , Tongqian Zhang , Xiaomin An
来源:[J].Advances in Difference Equations(IF 0.76), 2018, Vol.2018 (1), pp.1-23Springer
摘要:Abstract(#br)This paper deals with the effect of parameters on properties of positive solutions and asymptotic behavior of an unstirred chemostat model with the Beddington–DeAngelis (denote by B–D) functional response under the Robin boundary condition. Firstly, we establish...
作者:Tongqian Zhang , Xinzeng Wang
来源:[J].Advances in Difference Equations(IF 0.76), 2018, Vol.2018 (1), pp.1-11Springer
摘要:Abstract(#br)In this paper, stochastic effect on the spread of the infectious disease with saturated incidence rate and the special transfer from infectious is discussed. The threshold dynamics is explored for the case of relatively small noise. Our results show that large noise ...
作者:Tongqian Zhang , Xinzhu Meng ...
来源:[J].Nonlinear Dynamics(IF 3.009), 2014, Vol.78 (2), pp.921-938Springer
摘要:Abstract(#br)In this paper, a new model with two state impulses is proposed for pest management. According to different thresholds, an integrated strategy of pest management is considered, that is to say if the density of the pest population reaches the lower threshold $$h_1...
作者:Tongqian Zhang , Xinzhu Meng , Yi Song
来源:[J].Nonlinear Dynamics(IF 3.009), 2011, Vol.64 (1-2), pp.1-12Springer
摘要:Abstract(#br)In this paper, a delayed pest control model with stage-structure for pests by introducing a constant periodic pesticide input and harvesting prey (Crops) at two different fixed moments is proposed and analyzed. We assume only the pests are affected by pesticide....


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