logistic growth 1

logistic growth 2

Functions

Newton Abraham Lecture

4.8 Epidemiology 8 30 2019

19.1 Route to Chaos in Logistic Model 8 30 2019 V2

16.5 Extreme Sensitivity Butterfly Effect 8 30 2019

4.7 Modeling Chemical Reactions

4.9 Immune Dynamics 8 30 2019

12.2 feedback control of gene expression

19.2 Route to Chaos in Food Chain Model 8 14 2019

19.3 Review of Chaos, Chaos in Nature 8 14 2019

19.4 Dripping Faucet 8 14 2019

19.5 Stretching and Folding

20.1 Chaos and Cardiac Arrhythmias

20.2 Periodically Stimulated Cardiac Cells

20.3 Ventricular Fibrillation

6.2 Stable and Unstable Equilibrium Points

17.1 Discrete Time Dynamical Systems

18.2 Diagnosing Randomness

17.2 Discrete Time Logistic Model

17.3 Sensitive Dependence in Logistic Model

17.4 Cause of Chaos in Logistic Function

17.5 Routes to Chaos in Discrete Logistic Function

17.6 Lowering R as an intervention, therapy for chaos

18.1 Variability as internal or external-candle flame

15.1 Holling Tanner Model

16.2 Mathematical Model of 3 Species Food Chain

16.3 Chaos in the Food Chain Model

16.1 New Kind of Behavior Fluid Turbulence Cardiac Fibrillation