Thread: population growth model

Having problems with a homework problem:

2 populations (J(t) and K(t)) of microbial species are each assumed to grow according to the euler differential equation model, with different growth parameters c and d, respectively. Suppose the populations are grown together in a beaker, and define p(t) = J(t) / (J(t) + K(t)) to be the fraction of the total population that is of species type J. Using differential equations for J and K, show that p(t) satisfies a logistic growth equation.

any input would be helpful.

thanks,
charps

coming down to the wire on this one. any help or hints would be awesome.

charps

Maybe you can say,



Then, show that

Knowing that,

thank you.