Journal ArticleDOI
Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects
TLDR
In this article, a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects was proposed and its dynamics were investigated, and it was shown that the system has a unique periodic solution which is globally attractive.About:
This article is published in Nonlinear Analysis: Hybrid Systems.The article was published on 2017-11-01. It has received 149 citations till now.read more
Citations
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Journal ArticleDOI
Synchronization of dynamical networks with nonlinearly coupling function under hybrid pinning impulsive controllers
TL;DR: The globally exponential synchronization problem of dynamical networks with nonlinearly coupling function is considered and hybrid pinning control strategies are established to force the states of the network to follow some objective trajectory.
Journal ArticleDOI
Finite time control of switched stochastic nonlinear systems
TL;DR: Using the universal approximation ability, the nonlinear functions and their bounding functions may be completely unknown to the designer, which is more in line with reality than the existing finite-time researches for stochastic nonlinear systems.
Journal ArticleDOI
Finite-time stabilization of T–S fuzzy semi-Markov switching systems: A coupling memory sampled-data control approach
TL;DR: The inverted pendulum model is presented to demonstrate the feasibility and validity of the proposed strategies, and a more general coupling memory fuzzy sampled-data control strategy that involving time delay effect is derived.
Journal ArticleDOI
Spatio-temporal dynamics near the steady state of a planktonic system
TL;DR: A spatial model with prey taxis for planktonic systems is proposed, in which the herb behaviour in prey and effect of the hyperbolic mortality rate are considered, and it is shown that prey-taxis can yield the occurrence of spatio-temporal patterns.
Journal ArticleDOI
Unified synchronization criteria in an array of coupled neural networks with hybrid impulses.
TL;DR: The method and criteria are proved to be effective for impulsively coupled neural networks simultaneously with synchronizing impulses and desynchronizing impulses, and they do not need to discuss these two kinds of impulses separately.
References
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BookDOI
Stochastic differential equations and applications
TL;DR: In this paper, the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form, are discussed, as well as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, and information scientists, physicists and economists.
Book
Stochastic Stability of Differential Equations
TL;DR: In this article, the authors define the boundedness in probability and stability of Stochastic Processes Defined by Differential Equations (SDEs) defined by Markov Processes.
Journal ArticleDOI
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
Xiaoyue Li,Xuerong Mao +1 more
TL;DR: In this article, the authors considered a non-autonomous stochastic Lotka-Volterra competitive system and derived the sufficient conditions for the existence of global positive solutions, global attractivity, and the limit of the average in time of the sample paths of solutions.
Journal ArticleDOI
Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
TL;DR: In this article, the authors proposed new mathematical models with nonlinear incidence rate and double epidemic hypothesis and developed a method to obtain the threshold of the stochastic SIS epidemic model.
Journal ArticleDOI
A delayed epidemic model with stage-structure and pulses for pest management strategy
TL;DR: An impulsive delay epidemic disease model with stage-structure and a general form of the incidence rate concerning pest control strategy, in which the pest population is subdivided into three subgroups: pest eggs, susceptible pests, infectious pests that do not attack crops, observes that the susceptible pest-eradication periodic solution is globally attractive.