Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed （SEIR） model describing epidemics＇ transmission, via the technique of parameter perturbation which is standard in stochas...Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed （SEIR） model describing epidemics＇ transmission, via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And E detailed analysis on global asymptotic stability is also carried out.展开更多
We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1...We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1)+u′(1)=0 and u(0)=u(1)=0 , respectively, where Tu(t)=∫ 1 0G(t,s)|u′(s)|ds, α 0,α 1≥ 0, α 0+α 1>0, and obtaint some new results.展开更多
基金the International Economics and Foreign Trade Subject Group Research Projects on the Special Development Fund(2013-2014) for Higher Education from the Central to Support the Local,China(No.Y13022)
文摘Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed （SEIR） model describing epidemics＇ transmission, via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And E detailed analysis on global asymptotic stability is also carried out.
文摘We study the existence of positive solutions of the second order nonlinear differentio-integral equation Lu(t)-(p(t)u′(t))′+q(t)u(t)=f(t,u(t),Tu(t)) with respect to boundary conditions α 0u(0)-u′(0)=α 1u(1)+u′(1)=0 and u(0)=u(1)=0 , respectively, where Tu(t)=∫ 1 0G(t,s)|u′(s)|ds, α 0,α 1≥ 0, α 0+α 1>0, and obtaint some new results.
