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Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (4)

In this paper, a discrete-time coupled within-host and between-host epidemic model with environmentally driven and saturation incidence is discussed. ......

General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (6)

Since the non-commutativity and particular structure of the quaternion algebra, the quternion difference equations (short for QDCEs) have a large diff......

On the forward dynamical behaviour of nonautonomous lattice dynamical systems

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (7)

In this article, we study the forward dynamical behaviour of nonautonomous lattice systems. We first construct a family of sets {A(epsilon)(sigma)}(si......

A Siegel theorem for periodic difference systems

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (5)

In this paper, we extend the Siegel's theorem for analytically reducing periodic difference system to a linear one under certain small-divisor conditi......

Congruences and telescopings of P-recursive sequences

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (5)

A P-recursive sequence is a sequence which satisfies a linear recurrence relation with polynomial coefficients. For a P-recursive sequence {a(n)}(n &g......

Convergence analysis for iterative learning control of impulsive linear discrete delay systems

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (5)

This paper addresses convergence of iterative learning control for impulsive linear discrete delay systems with randomly varying trial lengths when co......

Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (4)

Topological conjugacy plays an important role in simplifying the systems and equations in the research of dynamical systems and functional equations. ......

Travelling wave solutions in a predator-prey integrodifference system

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (4)

This paper studies the minimal wave speed of travelling wave solutions in a predator-prey integrodifference system. Even if the predator vanishes, the......

Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (6)

We prove the existence of a random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise. We first transf......

Potential difference games and applications

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (3)

This paper concerns noncooperative difference games with infinite horizon discounted payoffs. More precisely, it is a sequel to a previous paper [A. F......

Some q-congruences on double basic hypergeometric sums

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (3)

We give three q-congruences on double basic hypergeometric sums. One of them is a q-analogue of the following supercongruence: for any prime p>3, S......

Qualitative properties and two strong resonances of a discrete reduced Lorenz system

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (6)

In this paper, we discuss the dynamics of a discrete reduced Lorenz system. At first, applying the centre manifold reduction, computing normal form, u......

Asymptotic behaviour of non-autonomous discrete complex Ginzburg-Landau equations driven by nonlinear noise

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021; 27 (7)

In this paper, we consider dynamical behaviour for stochastic discrete complex Ginzburg-Landau equations driven by locally Lipschitz nonlinear noise. ......

Invariant densities for intermittent maps with critical points

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, ; ()

For a class of piecewise convex maps T with an indifferent fixed point and critical points on the interval [0,1], we show that T has a unique absolute......

Topological pressures of a factor map for free semigroup actions

期刊: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, ; ()

In this paper, we mainly study the topological pressures of finitely generated free semigroup actions on a compact metric space. By means of a factor ......

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