Afonso Dimas Martins

I may be able to help you if:

1. You send me a copy of the paper you refer to -- i don't have time to look it up

2. You send me the equations in a more legible form, e.g. pdf or Overleaf link to tex file

Best regards

Sam

Dear Afonso Dimas Martins,

First of all, I wish you healthy days during this pandemic.

It is not obvious enough for me that the carrying capacity is exceeded in your computation. Of course, this is due to the symbolic calculations. But, I want to emphasize two things:

i.) You could use the command "Reduce" instead of "Solve". (Note that this may require more CPU-time)

ii.) From the biological viewpoint, although the environmental carrying capacity cannot be exceeded in the long run; there may be some situations in the habitat that causes a change in the carrying capacity. For example, a change in the environmental conditions or a change in the per capita population growth rate. (I don't know the capacity and growth rate are constants or not in your model)

I hope this could help.

Best wishes,

Tahir

Human overpopulation occurs when the ecological footprint of the human population in a given geographical location exceeds the carrying capacity of the place occupied by that group. From a long-term perspective, overpopulation can be further viewed as existing when population cannot be sustained given the rapid depletion of non-renewable resources or in light of the deterioration of the environment's ability to provide support to the population.