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 in a dispersal predator–prey system with delays
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
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 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 travelling wave speed and explicit solutions in monostable reaction-diffusion equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.
Elaine Crooks, Michael Grinfeld
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Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
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 Competitive Integrodifference System without Comparison Principle
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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Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay
Boundary Value ProblemsThis study examines traveling wave solutions of the SIS epidemic model with nonlocal dispersion and delay. The research shows that a key factor in determining whether traveling waves exist is the basic reproduction number R 0 $R_{0}$ . In particular, the
Rassim Darazirar +4 more
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Generalized Horndeski-like Einstein Gauss-Bonnet inflation with massless primordial gravitons
Nuclear Physics B, 2021 In this work we shall introduce a theoretical framework comprised by a non-minimal coupled canonical scalar field, a non-minimal coupling to the Gauss-Bonnet invariant and a non-minimal kinetic coupling.
V.K. Oikonomou, F.P. Fronimos
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Traveling wave solutions for fully parabolic Keller-Segel chemotaxis systems with a logistic source
Electronic Journal of Differential Equations, 2020 This article concerns traveling wave solutions of the fully parabolic Keller-Segel chemotaxis system with logistic source, $$\displaylines{ u_t=\Delta u -\chi\nabla\cdot(u\nabla v)+u(a-bu),\quad x\in\mathbb{R}^N,\cr \tau v_t=\Delta v-\lambda v +\mu ...
Rachidi B. Salako, Wenxian Shen
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