In this paper we present a nonparametric method for extending functional regression methodology to the situation where more than one functional covariate is used to predict a functional response. Borrowing the idea from Kadri et al. (2010a), the method, which support mixed discrete and continuous explanatory variables, is based on estimating a function-valued function in reproducing kernel Hilb...

and Applied Analysis 3 To the best of the authors’ knowledge, for the nonautonomous case of predatorprey systems with two predators which consume immature prey and stage structure for prey, whether one could obtain the sufficient and necessary conditions which insure the permanence of the system or not is still an open problem. The aim of this paper is, by further developing the analysis techni...

A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductiv...

This paper deals with a delayed three-level food chain model with Beddington-DeAngelis functional response. By using the differential inequality theory, a set of sufficient conditions are obtained for the permanence of the system. By constructing a suitable Liapunov function, we derive that the system has a unique asymptotically periodic solution which is globally asymptotically stable. An exam...

Let ω > 0 be a constant. Suppose that {tk}∞k=−∞ is an increasing two-sided sequence and there exists a positive integer q such that tk+q = tk + ω for all k. Define PCω to be the space of all ω-periodic functions ψ : R→ R which are continuous for t 6= tk, are continuous from the left for t ∈ R and have possible discontinuities of the first kind at points t = tk; that is, the limit from the right...

By using a continuation theorem of Mawhin's coincidence degree , studied a periodic predator-prey system with dispersal and semi-ratio-functional response, sufficient conditions are obtained for the existence of positive periodic solution for the system.

This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.

In this paper we derive some results to ensure the global stability of a predator-prey system. The results cover most of the models which have been proposed in the ecological literature for predator-prey systems. The first result is very geometric and it is very easy to check from the graph of prey and predator isoclines. The second one is purely algebraic, however, it covers the defects of the...

Recommended by Leonid Berezansky This paper discusses a delayed discrete predator-prey system with general Holling-type functional response and feedback controls. Firstly, sufficient conditions are obtained for the permanence of the system. After that, under some additional conditions, we show that the periodic solution of the system is global stable.