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
doaj +6 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +5 more sources
Traveling Waves and Estimation of Minimal Wave Speed for a Diffusive Influenza Model with Multiple Strains. [PDF]
Bull Math Biol, 2020 Antiviral treatment remains one of the key pharmacological interventions against influenza pandemic. However, widespread use of antiviral drugs brings with it the danger of drug resistance evolution. To assess the risk of the emergence and diffusion of resistance, in this paper, we develop a diffusive influenza model where influenza infection involves ...
Chen G, Fu X, Sun M.
europepmc +4 more sources
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
doaj +4 more sources
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
doaj +2 more sources
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
doaj +3 more sources
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
doaj +3 more sources
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
doaj +2 more sources