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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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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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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Stochastic patch structure Nicholson’s blowflies system with mixed delays
Advances in Difference Equations, 2020 This paper is devoted to studying a stochastic patch structure Nicholson’s blowflies system with mixed delays which is a new model for the generalization of classic Nicholson’s blowflies system.
Honghui Yin, Bo Du, Xiwang Cheng
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A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey
Advances in Mathematical Physics, 2021 In this paper, we study a stochastic Holling-type II predator-prey model with stage structure and refuge for prey. Firstly, the existence and uniqueness of the global positive solution of the system are proved.
Wanying Shi +3 more
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Dynamic Behavior of an Interactive Mosquito Model under Stochastic Interference
Mathematics, 2022 For decades, mosquito-borne diseases such as dengue fever and Zika have posed serious threats to human health. Diverse mosquito vector control strategies with different advantages have been proposed by the researchers to solve the problem.
Xingtong Liu, Yuanshun Tan, Bo Zheng
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Ultimate Boundedness of the Systems Governed by Stochastic Differential Equations [PDF]
Nagoya Mathematical Journal, 1972 The stability of the systems given by ordinary differential equations or functional-differential equations has been studied by many mathematicians. The most powerful tool in this field seems to be the Liapunov’s second method (see, for example [6]).
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A stochastic prey-predator model with time-dependent delays
Advances in Difference Equations, 2017 A stochastic predator-prey system with time-dependent delays is considered. Firstly, we show the existence of a global positive solution and stochastically ultimate boundedness.
Xiangjun Dai, Zhi Mao, Xiaojun Li
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Stochastic Logistic Systems with Jumps
Journal of Applied Mathematics, 2014 This paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable.
Ruihua Wu, Ke Wang
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Advances in Difference Equations, 2020 Stochastic differential models provide an additional degree of realism compared to their corresponding deterministic counterparts because of the randomness and stochasticity of real life.
Fathalla A. Rihan +1 more
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