Finite-time reliable filtering for T-S fuzzy stochastic jumping neural networks under unreliable communication linksSpringer Science and Business Media LLC - Tập 2017 - Trang 1-17 - 2017
Huiling Duan, Tao Peng
This study is concerned with the problem of finite-time state estimation for T-S fuzzy stochastic jumping neural networks, where the communication links between the stochastic jumping neural networks and its estimator are imperfect. By introducing the fuzzy technique, both the nonlinearities and the stochastic disturbances are represented by T-S model. Stochastic variables subject to the Bernoulli...... hiện toàn bộ
Dynamics of a stage-structured single population model with state-dependent delaySpringer Science and Business Media LLC - Tập 2018 - Trang 1-15 - 2018
Yan Wang, Xianning Liu, Yangjiang Wei
In this paper, a novel stage-structured single population model with state-dependent maturity delay is formulated and analyzed. The delay is related to the size of population and taken as a non-decreasing differentiable bounded function. The model is quite different from previous state-dependent delay models in the sense that a correction term,
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Stability analysis of a discrete competitive system with nonlinear interinhibition termsSpringer Science and Business Media LLC - Tập 2017 - Trang 1-19 - 2017
Jinhuang Chen, Xiangdong Xie
We propose and study a discrete competitive system of the following form:
$$\begin{aligned} &x_{1}(n+1)=x_{1}(n)\exp{\biggl[r_{1}-a_{1}x_{1}(n)- \frac {b_{1}x_{2}(n)}{1+c_{2}x_{2}(n)}\biggr]}, \\ &x_{2}(n+1)=x_{2}(n)\exp{\biggl[r_{2}-a_{2}x_{2}(n)- \frac {b_...... hiện toàn bộ
Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditionsSpringer Science and Business Media LLC - Tập 2011 - Trang 1-12 - 2011
Nasser-eddine Tatar
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order case to the fractional case in the sense of Caputo. A fixed point theorem is used to prove existence of mild solutions.
AMS Subj...... hiện toàn bộ
Global behavior and the periodic character of some biological modelsSpringer Science and Business Media LLC - Tập 2020 - Trang 1-21 - 2020
Osama Moaaz, Jan Awrejcewicz, Hamida Mahjoub
Biological models are usually described using difference equations. As a result, we are - in this work - interested in studying a general difference model which includes two biological models as special cases. In detail, we study the qualitative behaviors (local and global stability, boundedness and periodicity character) of a general difference model. Furthermore, we apply our general results to ...... hiện toàn bộ