The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specificall

Chardonnay Felix

Chardonnay Felix

Answered question

2021-06-24

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. Assume that for a population K=1000 and α=0.05.. Draw the directional field associated with this differential equation and draw a few solutions. What is the behavior of the population?

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-06-25Added 83 answers

Samples of the solutions::
Octave or Matlab code
i=1; figure;hold on;
while i<5
P0=10i;
t=linspace(0,100,100000)';
[t,P]=ode45((t,P)0.05P.log(1000.P),t,P0);
plot(t,P);
i=i+1;
endwhile;
legend("P0=10","P0=100","P0=1000","P0=10000");
[Graph]

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