I Believe Global Population Is Reaching An Unsustainable Level
This is too advanced for all of you people I expect, but will share it anyway as to set an example of something which you should strive to come to be able to understand.
Alright, the primary equation of interest here is the logistic equation in which the amount present is A, t is time, dA/dt is the rater of change with time and a and b are constants for a given system. Then one can model the behavior of the population by (dA/dt)= aA - b (A^2). The first term on the right is associated with exponential growth as the function for which its rate of change is proportional to the function itself is an exponential. The second term becomes significant when the function becomes large compared to its carrying capacity and is associated with population limiting effects such as excessive resource consumption, disease, predation, and parasitism. I have studied this differential equation specifically rather extensively and derived a scenario in which by increasing the b parameter one sees a series of bifurcations in equilibrium population levels that eventually leads to a continuum of values within a range.
Alright, the primary equation of interest here is the logistic equation in which the amount present is A, t is time, dA/dt is the rater of change with time and a and b are constants for a given system. Then one can model the behavior of the population by (dA/dt)= aA - b (A^2). The first term on the right is associated with exponential growth as the function for which its rate of change is proportional to the function itself is an exponential. The second term becomes significant when the function becomes large compared to its carrying capacity and is associated with population limiting effects such as excessive resource consumption, disease, predation, and parasitism. I have studied this differential equation specifically rather extensively and derived a scenario in which by increasing the b parameter one sees a series of bifurcations in equilibrium population levels that eventually leads to a continuum of values within a range.
51-55, M