scholarly journals MINIMUM WAVE SPEED FOR A DIFFUSIVE COMPETITION MODEL WITH TIME DELAY

2011 ◽  
Vol 1 (2) ◽  
pp. 205-218
Author(s):  
Wenzhang Huang ◽  
◽  
Yinshu Wu
Keyword(s):  
Time Delay ◽  
Wave Speed ◽  
Competition Model ◽  
Minimum Wave Speed

scholarly journals Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Fuzhen Wu ◽  
Dongfeng Li
Keyword(s):  
Time Delay ◽  
Traveling Wave ◽  
Wave Speed ◽  
Upper And Lower Solutions ◽  
Traveling Wave Solutions ◽  
Predator Prey ◽  
Wave Solutions ◽  
Prey System ◽  
Minimal Wave Speed ◽  
Distributed Time Delay

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. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. Our results complete the known conclusions and show the precisely asymptotic behavior of traveling wave solutions.

Experimental Validation of Existing Numerical Models for the Interaction of Fluid Transients With In-Line Air Pockets

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Jane Alexander ◽  
Pedro J. Lee ◽  
Mark Davidson ◽  
Huan-Feng Duan ◽  
Zhao Li ◽  
...  
Keyword(s):  
Time Delay ◽  
Wave Speed ◽  
Numerical Models ◽  
Diagnostic Process ◽  
Air Pocket ◽  
Fluid Transients ◽  
Entrapped Air ◽  
Air Pockets ◽  
The Given ◽  
Potential Tool

Entrapped air in pipeline systems can compromise the operation of the system by blocking flow and raising pumping costs. Fluid transients are a potential tool for characterizing entrapped air pockets, and a numerical model which is able to accurately predict transient pressures for a given air volume represents an asset to the diagnostic process. This paper presents a detailed study on our current capability for modeling and predicting the dynamics of an inline air pocket, and is one of a series of articles within a broader context on air pocket dynamics. This paper presents an assessment of the accuracy of the variable wave speed and accumulator models for modeling air pockets. The variable wave speed model was found to be unstable for the given conditions, while the accumulator model is affected by amplitude and time-delay errors. The time-delay error could be partially overcome by combining the two models.

Determination of the Minimum Wave Speed for the Modelling of Ventilated Cavitation

2016 ◽  
Vol 33 (11) ◽  
pp. 116401 ◽  
Author(s):  
Ting Chen ◽  
Yu-Ning Zhang ◽  
Xiao-Ze Du
Keyword(s):  
Wave Speed ◽  
Ventilated Cavitation ◽  
Minimum Wave Speed

Selection mechanism of the minimal wave speed to the Lotka–Volterra competition model

2020 ◽  
Vol 104 ◽  
pp. 106281
Author(s):  
Manjun Ma ◽  
Dong Chen ◽  
Jiajun Yue ◽  
Yazhou Han
Keyword(s):  
Wave Speed ◽  
Competition Model ◽  
Selection Mechanism ◽  
Minimal Wave Speed

scholarly journals The Minimal Wave Speed of a Lotka-Volterra Competition Model

2021 ◽  
Vol 42 (6) ◽  
pp. 575-585
Author(s):  
ZHANG Yafei ◽  
◽  
◽  
ZHOU Yinbo
Keyword(s):  
Wave Speed ◽  
Competition Model ◽  
Minimal Wave Speed

scholarly journals Response of Immunotherapy to Tumour-TICLs Interactions: A Travelling Wave Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Joseph Malinzi ◽  
Precious Sibanda ◽  
Hermane Mambili-Mamboundou
Keyword(s):  
Phase Space ◽  
Mathematical Modelling ◽  
Wave Speed ◽  
Interaction Model ◽  
Travelling Wave ◽  
Tumour Invasion ◽  
Wave Analysis ◽  
Stable And Unstable Manifolds ◽  
Minimum Wave Speed ◽  
Unstable Manifolds

There are several cancers for which effective treatment has not yet been identified. Mathematical modelling can nevertheless point out to clinicians tumour invasion properties that should be targeted to mitigate these cancers. We present a travelling wave analysis of a tumour-immune interaction model with immunotherapy. We use the geometric treatment of an apt-phase space to establish the intersection between stable and unstable manifolds. We calculate the minimum wave speed and numerical simulations are performed to support the analytical results.

scholarly journals Travelling wave solutions in a negative nonlinear diffusion–reaction model

2020 ◽  
Vol 81 (6-7) ◽  
pp. 1495-1522
Author(s):  
Yifei Li ◽  
Peter van Heijster ◽  
Robert Marangell ◽  
Matthew J. Simpson
Keyword(s):  
Nonlinear Diffusion ◽  
Wave Speed ◽  
Geometric Approach ◽  
Travelling Wave ◽  
Reaction Model ◽  
Diffusion Reaction ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Minimum Wave Speed ◽  
Nonlinear Diffusion Reaction Equation

AbstractWe use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion–reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, $$c^*$$ c ∗ , and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions.

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