Mathematical Modeling of Biological Processes by Avner Friedman & Chiu-Yen Kao

Author:Avner Friedman & Chiu-Yen Kao
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Algorithm 4 hopf.m

function xdot=hopf(t,x)

global p

mu = 1; a = 1; xdot = zeros(2,1);

xdot(1)=-mu*x(2)+x(1)*(p-a*(x(1)^2)-a*(x(2)^2));

xdot(2)=mu*x(1)+x(2)*(p-a*(x(1)^2)-a*(x(2)^2));

Problem 6.6.

Use MATLAB to generate the transcritical bifurcation and pitchfork bifurcation.

Problem 6.7.

Use MATLAB to generate the steady-state bifurcation diagram showing bistability as shown in Fig. 6.3.

Bibliography

[1]

Bogacki, P., Shampine, L.F.: A 3 (2) pair of runge-kutta formulas. Appl. Math. Lett. 2(4), 321–325 (1989)CrossRefMATHMathSciNet

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