Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Youde Tao"'
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
In this paper, the mathematical model of a kind of two-robot security system with an early warning function is studied. By using strongly continuous operator semigroup theory and Volterra integral equation theory, the properties of the semigroup of t
Externí odkaz:
https://doaj.org/article/e0650c1c24f44c2793424c9cb81a1490
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 16:1052-1059
A predator–prey model with generalized response function incorporating a prey refuge and independent harvesting in each species are studied by using the analytical approach. A constant proportion of prey using refuges is considered. We will evaluat
Publikováno v:
Nonlinear Dynamics. 66:825-830
In this paper, the global stability of virus dynamics model with Beddington–DeAngelis infection rate and CTL immune response is studied by constructing Lyapunov functions. We derive the basic reproduction number R0 and the immune response reproduct
Publikováno v:
Nonlinear Dynamics. 65:175-185
According to biological and chemical control strategy for pest control, we investigate an SI model for pest management, concerning periodic spraying of microbial pesticide and releasing infected pests at different fixed moments. By using Floquet and
Publikováno v:
Nonlinear Dynamics. 62:67-72
In this paper, a mathematical model for HIV-1 infection with intracellular delay and Beddington–DeAngelis functional response is investigated. We obtain a necessary and sufficient condition for the global stability of the infection-free equilibrium
Publikováno v:
Chaos, Solitons & Fractals. 42:1838-1844
In this paper, a delayed differential equation model that describes HIV infection of CD4+ T cells is considered. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated. In succession, using the normal form th
Publikováno v:
Applied Mathematical Modelling. 33:3099-3106
In this paper, a stage-structured pest management SI model with impulsive perturbations on infected pest is introduced. Sufficient conditions of the global attractivity of pest-extinction periodic solution and permanence of the system are obtained. W
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 14:2747-2756
In this paper, we investigate the dynamics of a SIRVS epidemic model with pulse vaccination strategy and saturation incidence. We show that the disease is eradicated when the basic reproduction number is less than unity, and the disease is permanent
Publikováno v:
Applied Mathematics and Computation. 210:398-404
In this paper, we consider an SEIR epidemic model with two time delays and nonlinear incidence rate, and study the dynamical behavior of the model with pulse vaccination. By using the Floquet theorem and comparison theorem, we prove that the infectio
Publikováno v:
International Journal of Biomathematics. :443-448
The stability of infections disease model with CTL immune response in vivo is considered in this paper. Explicit Lyapunov functions for our dynamics model with CTL immune response with nonlinear incidence of the form βVqTpfor the case q ≤ 1 are in