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

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 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].

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