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Dynamical behaviors of a classical Lotka-Volterra competition-diffusion-advection system

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

This paper deals with a two-species competition model in a homogeneous advective environment, where two species are subjected to a net loss of individ......

A dynamical model of echinococcosis with optimal control and cost-effectiveness

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

A dynamical model of echinococcosis transmission with optimal control strategies is first presented. The basic reproduction number of the model is det......

Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

In this paper we mainly prove the existence and uniqueness of entropy solutions and the uniqueness of renormalized solutions to the general nonlinear ......

Coupling local and nonlocal diffusion equations for image denoising

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

Due to the strong ability of restoring textures and details in images, nonlocal equations have attracted an extensive interest for image denoising. Ho......

Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

In this paper, we deal with an SIRS reaction-diffusion epidemic model with saturation infection mechanism. Based on the uniform boundedness of the par......

On the sharp local well-posedness for the modified Ostrovsky, Stepanyams and Tsimring equation

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 60 ()

In this paper, we consider the modified Ostrovsky, Stepanyams and Tsimring equation u(t) + u(xxx) - eta(Hu(x) + Hu(xxx)) + u(2)u(x) = 0. We prove that......

On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

In this paper, we mainly study the stability of Riemann problem for the improved Aw-Rascle-Zhang model which describes the formation and dynamics of t......

Global dynamics of a reaction-diffusion malaria model

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

This paper is devoted to the study of a reaction-diffusion malaria model with a spatially and temporally heterogeneous structure. In the case of a bou......

Persistence and propagation of a discrete-time map and PDE hybrid model with strong Allee effect

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

Persistence and propagation of species are fundamental questions in spatial ecology. This paper focuses on the impact of Allee effect on the persisten......

The impact of Wolbachia on dengue transmission dynamics in an SEI-SIS model

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

Dengue has grown dramatically in recent decades globally. In order to investigate the spread of dengue with vector control, especially, the impact of ......

Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 62 ()

We study the Laplacian equation with dynamical boundary condition involving Dirichlet-to-Neumann operator, critical growth, and Hardy potential. We fi......

Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

This paper is devoted to the global existence of weak solutions to the following degenerate kinetic model of chemotaxis {u(t) = Delta(gamma(v)u) (0.1)......

Limit cycle bifurcations of planar piecewise differential systems with three zones

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

This paper considers the limit cycle bifurcation problem of planar piecewise differential systems with three zones. Some computation formulas studied ......

Threshold dynamics of a bat-borne rabies model with periodic incubation periods

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

Bat-borne rabies is a viral infection caused by lyssaviruses. To explore the complex interaction between bats and cattle, we develop a periodic compar......

Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis

期刊: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021; 61 ()

In this paper, we first study the stability of the positive constant equilibrium and Turing instability induced by prey-taxis for phytoplankton-zoopla......

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