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 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 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 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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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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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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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.
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Minimal wave speeds of delayed dispersal predator-prey systems with stage structure
Electronic Journal of Differential Equations, 2016 This article concerns the minimal wave speed of delayed predator-prey systems with nonlocal dispersal and stage structure. By the method of upper and lower solutions, we prove the existence of positive traveling wave solutions.
Shuxia Pan
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Minimality conditions for wave speed in anisotropic smectic C∗ liquid crystals [PDF]
Mathematical Methods in the Applied Sciences, 2017 We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C∗ liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining ...
Elaine C. M. Crooks +2 more
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Spreading Speed, Traveling Waves, and Minimal Domain Size in Impulsive Reaction–Diffusion Models [PDF]
Bulletin of Mathematical Biology, 2012 How growth, mortality, and dispersal in a species affect the species' spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct repro- ductive and dispersal stages.
Lewis, Mark A., Li, Bingtuan
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