Minimal Wave Speed in an Integrodifference System of Predator-Prey Type [PDF]
Discrete Dynamics in Nature and Society, 2020 This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic
Baoju Sun, Fuzhen Wu
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Minimal wave speed in a dispersal predator–prey system with delays [PDF]
Boundary Value Problems, 2018 This paper is concerned with the minimal wave speed in a nonlocal dispersal predator–prey system with delays. We define a threshold. By presenting the existence and nonexistence of traveling wave solutions, we confirm that the threshold is the minimal ...
Xue-Shi Li, Shuxia Pan, Hong-Bo Shi
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Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay [PDF]
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms.
Fuzhen Wu, Dongfeng Li
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Minimal wave speed of competitive lattice dynamical systems with delays
Advances in Difference Equations, 2018 This paper deals with the minimal wave speed of delayed lattice dynamical systems. We obtain the minimal wave speed by presenting the existence and nonexistence of traveling wave solutions, which completes the earlier results.
Shuxia Pan, Hong-Bo Shi
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Minimal Wave Speed of Bacterial Colony Model with Saturated Functional Response [PDF]
Abstract and Applied Analysis, 2014 By considering bacterium death and general functional response we develop previous model of bacterial colony which focused on the traveling speed of bacteria.
Tianran Zhang, Qingming Gou
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Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity
Discrete Dynamics in Nature and Society, 2019 This paper deals with the minimal wave speed of delayed lattice dynamical systems without monotonicity in the sense of standard partial ordering in R2.
Fuzhen Wu
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Minimal Wave Speed for a Nonlocal Viral Infection Dynamical Model
Fractal and FractionalTo provide insights into the spreading speed and propagation dynamics of viruses within a host, in this paper, we investigate the traveling wave solutions and minimal wave speed for a degenerate viral infection dynamical model with a nonlocal dispersal ...
Xinzhi Ren +3 more
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Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker ...
Shuxia Pan, Jie Liu
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Minimal wave speed on a diffusive SIR model with nonlocal delays
Electronic Journal of Differential Equations, 2018 This article concerns the minimal wave speed of a diffusive SIR model with nonlocal delays, in which the dynamics of disease has no positive outbreak threshold. By constructing a pair of super and sub-solutions, we establish the existence of traveling
Wei-Jian Bo, Guo Lin, Ben Xiong
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Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle [PDF]
Mathematics, 2019 We investigate the traveling wave solutions of a competitive integrodifference system without comparison principle. In the earlier conclusions, a threshold of wave speed is defined while the existence or nonexistence of traveling wave solutions remains ...
Luping Li +3 more
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