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The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations
Springer Science and Business Media LLC - - 2013
Consider the class of planar systems of first-order rational difference equations
1´
where
, and the parameters are nonnegative and such that both terms in the right-hand side of (1′) are nonlinear...... hiện toàn bộ
A new method to study ILC problem for time-delay linear systems
Springer Science and Business Media LLC - - 2017
Correction to: Qualitative analysis of a discrete-time phytoplankton–zooplankton model with Holling type-II response and toxicity
Springer Science and Business Media LLC - Tập 2021 - Trang 1-1 - 2021
Global dynamics of a general diffusive HBV infection model with capsids and adaptive immune response
Springer Science and Business Media LLC - Tập 2019 - Trang 1-31 - 2019
This paper studies the global dynamics of a general diffusive hepatitis B virus (HBV) infection model. The model includes both enveloped viruses and DNA containing capsids. Two immune responses are recruited to attack the virus and infected hepatocytes. These are the cytotoxic T-lymphocytes (CTL) which kill the infected liver cells, and B cells which send antibodies to attack the virus. The non-ne...... hiện toàn bộ
Dynamic behaviors of a stage structure amensalism system with a cover for the first species
Springer Science and Business Media LLC - Tập 2018 - Trang 1-23 - 2018
In this paper, we propose and study a two-species stage structured amensalism model with a cover for the first species. By developing a new analysis technique or, more precisely, by combining the differential inequality theory and the Lyapunov function method, we obtain sufficient conditions ensuring the global attractivity of positive and boundary equilibria, respectively. Our study shows that th...... hiện toàn bộ
Permanence and extinction of a high-dimensional stochastic resource competition model with noise
Springer Science and Business Media LLC - Tập 2018 - Trang 1-18 - 2018
In this paper, we investigate the asymptotic behavior for a kind of resource competition model with environmental noises. Considering the impact of white noise on birth rate and death rate separately, we first prove the existence of a positive solution, and then a sufficient condition to maintain permanence and extinction is obtained by using a proper Lyapunov functional, stochastic comparison the...... hiện toàn bộ
Stability of abstract dynamic equations on time scales
Springer Science and Business Media LLC - - 2012
An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method
Springer Science and Business Media LLC - Tập 2016 - Trang 1-12 - 2016
An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method is proposed in this paper. The parallel algorithm consists of a parallel solver for linear tridiagonal equations and parallel vector arithmetic operations. For the parallel solver, in order to solve the linear tridiagonal equations efficiently, a new tridiagonal reduced system i...... hiện toàn bộ
On the iterated exponent of convergence of zeros of f ( j ) ( z ) − φ ( z )
Springer Science and Business Media LLC - Tập 2013 - Trang 1-15 - 2013
In this paper, the authors investigate the iterated exponent of convergence of zeros of
(
), where f is a solution of some second-order linear differe...... hiện toàn bộ
Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
Springer Science and Business Media LLC - - 2016
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