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
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.
Guo-Ting Chen, Xinchu Fu, Mengfeng Sun
semanticscholar +5 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 +3 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 +3 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 +4 more sources
Linear determinacy of the minimal wave speed of a model describing tissue degradation by bacteria
Applied Mathematics Letters, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yazhou Han, Manjun Ma
exaly +5 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 +8 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 +5 more sources
Minimal wave speed of competitive diffusive systems with time delays
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo Lin
exaly +3 more sources
Minimal wave speed of a bacterial colony model
Applied Mathematical Modelling, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tianran Zhang, Kaifa Wang, Wendi Wang
exaly +3 more sources