Studies On Dynamical Models And Control For Citrus Huanglongbing

Huanglongbing(HLB),known as a cancer disease of citrus and one of vector-borne disease,can be transmitted by citrus psyllid.According to the characteristics of HLB transmission,we propose two kind of non-autonomous and varying pulse control schemes for citrus huanglongbing epidemic with the periodic environment in this paper,and threshold problem and the dynamical properties of these models have been studied.Moreover,the affection of pulse intensity and time interval have been discussed for HLB transmission.The main contents of the paper are summarized as followings:In the first chapter,we introduce the purpose and significance of HLB,and review the present internal and external study on dynamics of the vector borne disease.At the same time we give the main work and the organization of this paper.In the second chapter,a mathematical model for citrus Huanglongbing transmission including impulsive roguing control strategy and general incidence is proposed and analyzed.The global dynamics of disease-free periodic solution and the permanence of the system are investigated.Numerical simulations support our analytical conclusions.The third chapter is divided into two sections.In the first section,a general epidemic model with non-periodic pulses in an environmental period is investigated.By the next infection operation,the basic reproductive number R0 is defined and set up for computation with non-periodically pulses.In the second section,the global dynamics of a citrus huanglongbing model with periodic environment and impulsive control is analyzed.The basic reproductive number R0 is derived and proved that when R0< 1,the the disease-free periodic solution is global asymptotic stability and when R0> 1,the system is persistent.Finally,numerical simulations imply that removing infected trees is a key control measure in disease control.