How can I plot this discrete recursive function?

I wrote a discrete recursive function to model logistic growth. The sole input argument to this function is time. If I pass a single value for time, it will plot it just fine, but if I pass an array of numbers, it will give the following error:

Maximum recursion limit of 500 reached. Use set(0,'RecursionLimit',N) to change the limit. Be aware that exceeding

your available stack space can crash MATLAB and/or your computer.

Here's the function code:

function [ pop] = discrete_logistic( time )
r = 1;
K = 1000;
N0 = 0.1;
if time ==0
     pop = N0;
else
    pop = discrete_logistic(time-1) + r*discrete_logistic(time-1)*(1-discrete_logistic(time-1)/K);
end

And here's the script which passes time as input:

clear all; 
close all;
clc;
t = [1:10];
w = discrete_logistic(t);
plot(t,w,'r*');
shg

I've tried different ways for passing time,

Answer 1

[KALYAN ACHARJYA]

function pop=discrete_logistic(time)
r = 1;
K = 1000;
N0 = 0.1;
if time==0
    pop=N0;
else
    pop=discrete_logistic(time-1)+r*discrete_logistic(time-1)*(1-discrete_logistic(time-1)/K);
end

Main:

t = [1:10];
for i=1:length(t)
w(i)= discrete_logistic(t(i));
end
plot(t,w,'r*');
shg

[Mike AA]

Could you kindly explain why the code doesn't work as is? Why doesn't the function acccept an array as input?

Also, setting tf = 14 and beyond, it takes considerably long to finish the run, is this normal?

Thank you.

[KALYAN ACHARJYA]

It definitely accept the array of data, but what about pop output in the function file.

[Mike AA]

If a function accepts an array, the output will be an array too, no? Or do I have to define the output seperately inside the function?