Correction to: Qualitative analysis of a discrete-time phytoplankton–zooplankton model with Holling type-II response and...
Published in Advances in Difference Equations
Correction to: Qualitative analysis of a discrete-time phytoplankton–zooplankton model with Holling type-II response and...
Dynamics of a new stage-structured population model with transient and nontransient impulsive effects in a polluted envi...
Published in Advances in Difference Equations
In this paper, we consider a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment. By using the theories of impulsive differential equations, we obtain the globally asymptotically stable condition of a population-extinction solution; we also present the permanent condition for the investi...
Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and ...
Published in Advances in Difference Equations
This paper considers the initial-boundary value problem of the one-dimensional full compressible nematic liquid crystal flow problem. The initial density is allowed to touch vacuum, and the viscous and heat conductivity coefficients are kept to be positive constants. Global existence of strong solutions is established for any H2\documentclass[12pt]...
Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect
Published in Advances in Difference Equations
The mathematical model has become an important means to study tumor treatment and has developed with the discovery of medical phenomena. In this paper, we establish a delayed tumor model, in which the Allee effect is considered. Different from the previous similar tumor models, this model is mainly studied from the point of view of stability and co...
Lacunary statistical boundedness on time scales
Published in Advances in Difference Equations
In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacunary statistical boundedness on time scales.
On initial inverse problem for nonlinear couple heat with Kirchhoff type
Published in Advances in Difference Equations
The main objective of the paper is to study the final model for the Kirchhoff-type parabolic system. Such type problems have many applications in physical and biological phenomena. Under some smoothness of the final Cauchy data, we prove that the problem has a unique mild solution. The main tool is Banach’s fixed point theorem. We also consider the...
Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains
Published in Advances in Difference Equations
In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro-dynamic system on time scale using vectorization operator....
Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments
Published in Advances in Difference Equations
Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation criteria are established, which are based on a refinement generalized Riccati transformation. An important tool for this investigation is the...
A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion mod...
Published in Advances in Difference Equations
Convection and diffusion are two harmonious physical processes that transfer particles and physical quantities. This paper deals with a new aspect of solving the convection–diffusion equation in fractional order using the finite volume method and the finite difference method. In this context, we present an alternative way for estimating the space f...
Differential inequalities for spirallike and strongly starlike functions
Published in Advances in Difference Equations
In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p(0)=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setleng...
