Traveling wavefronts for density‐dependent diffusion reaction convection equation with time delay

2021 ◽  
Author(s):  
Zhihong Zhao ◽  
Liting Li ◽  
Zhaosheng Feng
Keyword(s):  
Time Delay ◽  
Diffusion Reaction ◽  
Density Dependent ◽  
Convection Equation

Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions

2018 ◽  
Vol 69 (1) ◽  
pp. 1 ◽  
Author(s):  
Kamyar Hosseini ◽  
Peyman Mayeli ◽  
Ahmet Bekir ◽  
Ozkan Guner
Keyword(s):  
Exact Solutions ◽  
Fractional Diffusion ◽  
Space Time ◽  
Diffusion Reaction ◽  
Reaction Equation ◽  
Density Dependent

Attractors in a density-dependent diffusion-reaction model

1997 ◽  
Vol 29 (5) ◽  
pp. 485-499 ◽  
Author(s):  
Zsolt Biro
Keyword(s):  
Reaction Model ◽  
Diffusion Reaction ◽  
Density Dependent

Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

2011 ◽  
Vol 218 (5) ◽  
pp. 1682-1693 ◽  
Author(s):  
Chun-Hsien Li ◽  
Chiung-Chiou Tsai ◽  
Suh-Yuh Yang
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Birth Rate ◽  
Sir Epidemic Model ◽  
Density Dependent ◽  
Sir Epidemic ◽  
Distributed Time Delay

Understanding the interplay between density dependent birth function and maturation time delay using a reaction-diffusion population model

2015 ◽  
Vol 21 ◽  
pp. 14-26 ◽  
Author(s):  
Majid Bani-Yaghoub ◽  
Guangming Yao ◽  
Masami Fujiwara ◽  
David E. Amundsen
Keyword(s):  
Time Delay ◽  
Population Model ◽  
Reaction Diffusion ◽  
Maturation Time ◽  
Birth Function ◽  
Density Dependent ◽  
Maturation Time Delay

POPULATION CYCLES OF THE DOUGLAS-FIR TUSSOCK MOTH (LEPIDOPTERA: LYMANTRIIDAE): THE TIME-DELAY HYPOTHESIS

1978 ◽  
Vol 110 (5) ◽  
pp. 513-518 ◽  
Author(s):  
Alan A. Berryman
Keyword(s):  
Time Delay ◽  
Negative Feedback ◽  
Population Model ◽  
Time Delays ◽  
Population Cycles ◽  
Douglas Fir ◽  
Limited Data ◽  
Moth Population ◽  
Density Dependent ◽  
Tussock Moth

AbstractA simple population model is used to test the hypothesis that Douglas-fir tussock moth population cycles are caused by time-delays in the responses of density-dependent (negative feedback) processes. The limited data that are available do not seriously conflict with this hypothesis.

scholarly journals Variational principle for the asymptotic speed of fronts of the density-dependent diffusion-reaction equation

1995 ◽  
Vol 52 (3) ◽  
pp. 3285-3287 ◽  
Author(s):  
R. D. Benguria ◽  
M. C. Depassier
Keyword(s):  
Variational Principle ◽  
Diffusion Reaction ◽  
Reaction Equation ◽  
Density Dependent ◽  
Asymptotic Speed

scholarly journals Nonlinear density-dependent diffusion for competing species interactions: Large-time asymptotic behaviour

1984 ◽  
Vol 27 (2) ◽  
pp. 131-144 ◽  
Author(s):  
Anthony W. Leung
Keyword(s):  
Species Interactions ◽  
General Setting ◽  
Reaction Diffusion ◽  
Diffusion Reaction ◽  
General Situation ◽  
Competing Species ◽  
Density Dependent ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Reaction Diffusion Model

In many biological diffusion-reaction studies, it was found that one should include the effect of density dependent rates, drift terms and spatially varying growth rates, in order to obtain more accurate results. (See e.g. [7],[10], [8] , [3]). On the other hand, many recent mathematical results on reaction-diffusion systems do not include such general setting. This article investigates the behaviour of competing-species reaction-diffusion model under this more general situation. Efforts are made to obtain results concerning coexistence, survival and extinction, by methods similar to that in [5], [6].

Exact traveling wave solutions of density-dependent conformable space–time-fractional diffusion–reaction equation with quadratic nonlinearity

2019 ◽  
Vol 94 (10) ◽  
pp. 1573-1580
Author(s):  
Hadi Rezazadeh ◽  
Alper Korkmaz ◽  
Huitzilin Yépez-Martínez ◽  
Mostafa Eslami ◽  
Ahmet Bekir
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Fractional Diffusion ◽  
Space Time ◽  
Quadratic Nonlinearity ◽  
Diffusion Reaction ◽  
Reaction Equation ◽  
Density Dependent ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions
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