scholarly journals Dynamics of spatially distributed delay logistic equation

2019 ◽  
Vol 1205 ◽  
pp. 012024
Author(s):  
I Kashchenko
Keyword(s):  
Distributed Delay ◽  
Logistic Equation ◽  
Spatially Distributed ◽  
Delay Logistic Equation

BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY

2004 ◽  
Vol 12 (01) ◽  
pp. 45-60 ◽  
Author(s):  
URSZULA FORYŚ
Keyword(s):  
Stability Analysis ◽  
Distributed Delay ◽  
Integral Form ◽  
Logistic Equation ◽  
Delay Systems ◽  
Discrete Delay ◽  
Stability Regions ◽  
The Stability ◽  
Delay Logistic Equation

This paper deals with the stability analysis of biological delay systems. The Mikhailov criterion of stability is presented (and proved in the Appendix) for the case of discrete delay and distributed delay (i.e., delay in integral form). This criterion is used to check stability regions for some well-known equations, especially for the delay logistic equation and other equations with one discrete delay which appear in many applications. Some illustrations of the behavior of Mikhailov hodograph are shown.

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