Results 1 to 10 of about 140,249 (314)
On discrete-time laser model with fuzzy environment
AIMS Mathematics, 2021 In this work, dynamical behaviors of discrete time laser model with fuzzy parameters are studied. It provides a flexible model to fit fuzzy uncertainty data.
Qianhong Zhang +3 more
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Fractal and Fractional, 2023 This paper studies the dynamic behavior of a class of fractional-order antisymmetric Lotka–Volterra systems. The influences of the order of derivative on the boundedness and stability are characterized by analyzing the first-order and ...
Mengrui Xu
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Communications in Advanced Mathematical Sciences, 2023 We explore the dynamics of adhering to rational difference formula \begin{equation*} \Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) } \quad m \in \mathbb{N}_{0} \end{equation*} where the initials $\Psi_{-5}$
Ibrahim Tarek Fawzi Abdelhamid +2 more
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Electronic Research Archive, 2022 In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case.
Ailing Xiang, Liangchen Wang
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Dynamical behaviors of a k-order fuzzy difference equation
Open Mathematics, 2022 Difference equations are often used to create discrete mathematical models. In this paper, we mainly study the dynamical behaviors of positive solutions of a nonlinear fuzzy difference equation: xn+1=xnA+Bxn−k(n=0,1,2,…),{x}_{n+1}=\frac{{x}_{n}}{A+B{x}_ ...
Han Caihong +3 more
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Computing the area-minimizing surface by the Allen-Cahn equation with the fixed boundary
AIMS Mathematics, 2023 The Allen-Cahn equation is a famous nonlinear reaction-diffusion equation used to study geometric motion and minimal hypersurfaces. This link has been scrutinized to construct minimal surfaces for many years.
Dongsun Lee
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IEEE Access, 2021 Some dynamical behaviors of fractional-order commutative quaternion-valued neural networks (FCQVNNs) are studied in this paper. First, because the commutative quaternion does not satisfy Schwartz triangle inequality, the FCQVNNs are divided into four ...
Yannan Xia +3 more
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Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
Electronic Research Archive, 2022 This paper is concerned with a class of reaction-diffusion system with density-suppressed motility $ \begin{equation*} \begin{cases} u_{t} = \Delta(\gamma(v) u)+\alpha u F(w), & x \in \Omega, \quad t>0, \\ v_{t} = D \Delta v+u-v, & x \in \
Wenbin Lyu, Zhi-An Wang
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A note on the boundedness in a chemotaxis-growth system with nonlinear sensitivity
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper deals with a parabolic-elliptic chemotaxis-growth system with nonlinear sensitivity \begin{equation*}\label{1a} \begin{cases} u_t=\Delta u-\chi\nabla\cdot(\psi(u)\nabla v)+f(u), &(x,t)\in \Omega\times (0,\infty), \\ 0=\Delta v-v+g(u), &(x,t ...
Pan Zheng +3 more
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Boundedness in a quasilinear two-species chemotaxis system with consumption of chemoattractant
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper deals with a two-species chemotaxis system \begin{equation*} \begin{cases} u_t=\nabla\cdot(D_1(u)\nabla u)-\nabla\cdot(u\chi_1(w)\nabla w)+\mu_1 u(1-u-a_1v),\quad &x\in \Omega,\quad t>0,\\ v_t=\nabla\cdot(D_2(v)\nabla v)-\nabla\cdot(v\chi_2(w)\
Jing Zhang +3 more
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