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GLOBAL BOUNDEDNESS IN A QUASILINEAR TWO-SPECIES ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH TWO CHEMICALS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

This paper studies the quasilinear attraction-repulsion chemotaxis system of two-species with two chemicals u(t) = del . (D-1(u)del u) - del . (Phi(1)......

A NOVEL NUMERICAL METHOD BASED ON A HIGH ORDER POLYNOMIAL APPROXIMATION OF THE FOURTH ORDER STEKLOV EQUATION AND ITS EIGENVALUE PROBLEMS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

Based on high order polynomial approximation and dimension reduction technique, we propose a novel numerical method for the fourth order Steklov probl......

BIFURCATION ANALYSIS OF SOLUTIONS TO A NONLOCAL PHYTOPLANKTON MODEL UNDER PHOTOINHIBITION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (2)

We investigate the effect of photoinhibition in a nonlocal reaction-diffusion-advection equation, which models the dynamics of a single phytoplankton ......

ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO COUPLED SEMILINEAR PARABOLIC EQUATIONS WITH GENERAL DEGENERATE DIFFUSION COEFFICIENTS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (2)

This paper concerns the asymptotic behavior of solutions to one-dimensional coupled semilinear degenerate parabolic equations with superlinear reactio......

STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

For the stochastic differential equation with piecewise continuous arguments, multiplicative noises and dissipative drift coefficients, we show that t......

STUDYING THE FEAR EFFECT IN A PREDATOR-PREY SYSTEM WITH APPARENT COMPETITION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (2)

Recent experimental evidence shows that the mere presence of predators may largely reduce the reproduction success of prey. The loss of prey's reprodu......

A FILIPPOV TYPE PREDATOR PREY SYSTEM WITH SELECTIVE HARVESTING OF PREDATOR

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (11)

In this paper, piece-wise smooth predator prey Filippov system to describe the role of refuge to prey and additional food to predators is explored. Lo......

A NOTE ON THE GLOBAL ATTRACTIVITY FOR A ZIKV EPIDEMIC MODEL WITH SPATIAL STRUCTURE AND GENERAL INCIDENCE RATE

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; ()

This paper provides an expansion to a recent work [L. Duan, L. Huang, Proc. Amer. Math. Soc. 149 (11) (2021) 4789-4797], where the global asymptotic s......

TRANSMISSION DYNAMICS OF A GENERAL TEMPORAL-SPATIAL VECTOR-HOST EPIDEMIC MODEL WITH AN APPLICATION TO THE DENGUE FEVER IN GUANGDONG, CHINA

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

Due to the nature of the spread of vector-host epidemic disease, there are many factors affecting its dynamic behaviors. In this paper, a vectorhost e......

USING NORMAL FORMS TO STUDY OTERMA'S TRANSITION IN THE PLANAR RTBP

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

Comet 39P/Oterma is known to make fast transitions between heliocentric orbits outside and inside the orbit of Jupiter. In this note the dynamics of O......

EMERGENCE OF LAGER DENSITIES IN CHEMOTAXIS SYSTEM WITH INDIRECT SIGNAL PRODUCTION AND NON-RADIAL SYMMETRY CASE

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (1)

This paper deals with the classical solution of the following chemotaxis system with generalized logistic growth and indirect signal production {u(t) ......

NOVEL METHOD OF PARTICULAR SOLUTIONS FOR SECOND-ORDER VARIABLE COEFFICIENT DIFFERENTIAL EQUATIONS ON A SQUARE

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (5)

In this work, a novel method of particular solutions (MPS, for short) is proposed with Legendre polynomials to solve second-order partial dif-ferentia......

PARTIAL REGULAR SOLUTION TO THE COUPLED SPIN POLARIZED SYSTEM IN THREE DIMENSIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (8)

We consider the partial regular solution to the coupled spin po-larized transport equations in 3D. This coupled system includes the Landau-Lifshitz eq......

A CHAOTIC DISCRETE-TIME CONTINUOUS-STATE HOPFIELD NETWORK WITH PIECEWISE-AFFINE ACTIVATION FUNCTIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; 28 (9)

We construct a chaotic discrete-time continuous-state Hopfield network with piecewise-affine nonnegative activation functions and weight matrix with s......

LOCAL DISCONTINUOUS GALERKIN SCHEMES FOR AN ULTRASONIC PROPAGATION EQUATION WITH FRACTIONAL ATTENUATION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023; ()

The goal of this article is to develop local discontinuous Galerkin (LDG) schemes for solving a time fractional equation describing the ultrasonic wav......

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