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Journal of Function Spaces, 2022 The article researches a stochastic hepatitis B epidemic model with saturated incidence rate, which is perturbed by both white noise and colored noise. Firstly, we obtain a significant criterion R0S which relies on environmental noises.
Chun Lu
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Finite Horizon Impulse control of Stochastic Functional Differential Equations
SIAM Journal on Control and Optimization, 2023 In this work we show that one can solve a finite horizon non-Markovian impulse control problem with control dependant dynamics. This dynamic satisfies certain functional Lipschitz conditions and is path dependent in such a way that the resulting trajectory becomes a flow.
Johan Jönsson, Magnus Perninge
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Stability of functional differential equations with impulses
Journal of Mathematical Analysis and Applications, 2007 The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.
Liu, Kaien, Fu, Xilin
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Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
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Periodic solutions of a neutral impulsive differential equation
上海师范大学学报. 自然科学版, 2017 In this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the
Hu Mi, Xia Yonghui
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Discrete Dynamics in Nature and Society, 2020 In this paper, we consider a hybrid network model of delayed predator-prey Gompertz systems with impulsive diffusion between two patches, in which the patches represent nodes of the network such that the prey population interacts locally in each patch ...
Li Xiang +4 more
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A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey
Discrete Dynamics in Nature and Society, 2009 We introduce and study a Gompertz model with time delay and impulsive perturbations on the prey. By using the discrete dynamical system determined by the stroboscopic map, we obtain the sufficient conditions for the existence and global attractivity of ...
Jianwen Jia, Chunhua Li
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Abstract and Applied Analysis, 2014 The problem of projective synchronization of drive-response coupled dynamical network with delayed system nodes and multiple coupling time-varying delays is investigated.
Song Zheng
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Discrete Dynamics in Nature and Society, 2020 Considering periodic environmental changes and random disturbance, we explore the dynamical behaviors of a stochastic competitive system with impulsive and periodic parameters in this paper.
Weili Kong, Yuanfu Shao
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MultiPoint BVPs for Second‐Order Functional Differential Equations with Impulses [PDF]
Mathematical Problems in Engineering, 2009 This paper is concerned about the existence of extreme solutions of multipoint boundary value problem for a class of second‐order impulsive functional differential equations. We introduce a new concept of lower and upper solutions. Then, by using the method of upper and lower solutions introduced and monotone iterative technique, we obtain the ...
Yang, Xuxin, He, Zhimin, Shen, Jianhua
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