please solve using matlab code

Two models of population growth are the exponential growth model: p(t) = p(0)e" = and the logistic growth model: p(t) = K p(0) p(0) + [K p(0)]e-'t where p(t) is the population size as a function of time t, and plo) is the initial population size at t = 0. The constant ris the growth rate, and the constant Kis called the carrying capacity of the environment. As to the exponential model predicts that p(t) but the logistic model predicts that p(t) K. Both models have been used extensively to model a number of different populations, including bacteria, animals, fish, and human populations. If p(0) and r are the same for both models, it is easy to see that the exponential model will predict a larger population for all t> 0. But suppose that p(0) is the same for both models but the r values are different. In particular, let r = 0.1 for the exponential model, r = 1 and K = 50 for the logistic model, and p(0) = 10 for both models. Then the two models will predict the same population at time tif: = 50 10 + 40e- 20.11 This equation cannot be solved analytically, so we must use a numerical method. Use the fzero function to solve this equation for t, store your result in a varible named t_s. Calculate the population at that time. Store it in a variable named p_s. 1