Global stability of single-species diffusion volterra models with continuous time delays

1987 ◽  
Vol 49 (4) ◽  
pp. 431-448 ◽  
Author(s):  
E. Beretta ◽  
Y. Takeuchi
Keyword(s):  
Global Stability ◽  
Continuous Time ◽  
Time Delays ◽  
Single Species ◽  
Volterra Models ◽  
Species Diffusion

PERIODIC SOLUTIONS OF TWO-SPECIES DIFFUSION MODELS WITH CONTINUOUS TIME DELAYS*

2002 ◽  
Vol 35 (2) ◽  
pp. 433-448 ◽  
Author(s):  
Hai-Feng Huo ◽  
Wan-Tong Li ◽  
Sui Sun Cheng
Keyword(s):  
Periodic Solutions ◽  
Continuous Time ◽  
Time Delays ◽  
Diffusion Models ◽  
Species Diffusion

Time Delays, Density-Dependence and Single-Species Oscillations

10.2307/3535 ◽  
1974 ◽  
Vol 43 (3) ◽  
pp. 747 ◽  
Author(s):  
R. M. May ◽  
G. R. Conway ◽  
M. P. Hassell ◽  
T. R. E. Southwood
Keyword(s):  
Density Dependence ◽  
Time Delays ◽  
Single Species

scholarly journals Approximate stationary densities, and parameter estimations for time-delayed stochastic logistic growth laws

2007 ◽  
Vol 47 ◽  
Author(s):  
Petras Rupšys
Keyword(s):  
Growth Model ◽  
Time Delays ◽  
Single Species ◽  
Small Time ◽  
Logistic Growth ◽  
Estimation Of Parameters ◽  
Stationary Distributions ◽  
Parameter Estimations ◽  
Growth Laws ◽  
Delayed Growth

We consider stochastic logistic type delayed growth model (Verhulst, Gompertz, Richards) of a single species population.The objective of this paper is to deduce a procedureon the estimation of parameters. We derive approximate stationary distributions in the case of small time delays. For the estimate of parameters we apply the L1 distance procedure. We propose approximate estimations of the parameters.

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