Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System [PDF]
Journal of Applied Mathematics, 2014 A stochastic competitive system is investigated. We first show that the positive solution of the above system does not explode to infinity in a finite time, and the existence and uniqueness of positive solution are discussed. Later, sufficient conditions
Shengliang Guo, Zhijun Liu, Huili Xiang
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Ultimate boundedness theorems for impulsive stochastic differential systems with Markovian switching
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Danhua He, Yumei Huang
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Extinction Analysis of Stochastic Predator–Prey System with Stage Structure and Crowley–Martin Functional Response [PDF]
Entropy, 2019 In this paper, we researched some dynamical behaviors of a stochastic predator–prey system, which is considered under the combination of Crowley–Martin functional response and stage structure.
Conghui Xu, Guojian Ren, Yongguang Yu
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PID Control for Uncertain Systems with Integral Measurements and DoS Attacks Using a Binary Encoding Scheme [PDF]
EntropyIn this paper, an observer-based proportional-integral-derivative (PID) controller is designed for a class of uncertain nonlinear systems with integral measurements, denial-of-service (DoS) attacks and bounded stochastic noises under a binary encoding ...
Nan Hou +4 more
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Non-Fragile Estimation for Nonlinear Delayed Complex Networks with Random Couplings Using Binary Encoding Schemes [PDF]
SensorsThis paper is dedicated to dealing with the design issue of a non-fragile state estimator for a type of nonlinear complex network subject to random couplings and random multiple time delays under binary encoding schemes (BESs).
Nan Hou +4 more
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Assessing the impact of disease incidence and immunization on the resilience of complex networks during epidemics [PDF]
Infectious Disease ModellingDisease severity through an immunized population ensconced on a physical network topology is a key technique for preventing epidemic spreading. Its influence can be quantified by adjusting the common (basic) methodology for analyzing the percolation and ...
M.D. Shahidul Islam +2 more
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Long-time behavior of a nonautonomous stochastic predator–prey model with jumps
Modern Stochastics: Theory and Applications, 2021 The existence and uniqueness of a global positive solution is proven for the system of stochastic differential equations describing a nonautonomous stochastic predator–prey model with a modified version of the Leslie–Gower term and Holling-type II ...
Olga Borysenko, Oleksandr Borysenko
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Dynamic Behavior of a Stochastic Amensalism Population Model
Journal of Harbin University of Science and Technology, 2022 Aiming at the problem of biased symbiosis dynamics affected by environmental factors, according to the theory of stochastic differential equation, the stochastic biased symbiosis dynamics model is established by introducing white noise, and the dynamic ...
AI Xiao-hui, DENG Wen-bo, LI Peng-zhe
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Boundedness analysis of stochastic integro-differential systems with Lévy noise
Journal of Taibah University for Science, 2020 This paper is concerned with the pth moment globally exponential ultimate boundedness of stochastic integro-differential systems with Lévy noise. With the help of the Lyapunov function methods and the inequality techniques, several sufficient criteria on
Danhua He, Liguang Xu
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Stochastic two-species mutualism model with jumps
Modern Stochastics: Theory and Applications, 2020 The existence and uniqueness are proved for the global positive solution to the system of stochastic differential equations describing a two-species mutualism model disturbed by the white noise, the centered and non-centered Poisson noises.
Olga Borysenko, Oleksandr Borysenko
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