## Logistic Equation of Human Population Growth (Generalization to the Case of Reactive Environment)

**Authors:** Sergey V. Ershkov

A key points of new approach for modeling of the population dynamics in reactive environment are presented here: 1) generalization of the Logistic equation to the case of reactive environment for modeling of population dynamics (or for the fulfilling of the ecological niches); 2) new type of asymptotic solution for such equation (which is tested on human population growth); 3) reduction to the Abel ODE in general case.
Due to a very special character of Abel ODE, it's general solution is proved to have a jumping or the break-down of the components for such a solution.
It means an existence of continuous general solution only at some definite, restricted range of time-parameter, or a possibility of sudden gradient catastrophe in regard to the components of solution (population growth), at the definite moment of time-parameter.

**Comments:** 6 pages; Keywords: Logistic equation; Human population; reactive environment; Abel ODE

**Download:** **PDF**

### Submission history

[v1] 22 Mar 2011

[v2] 2012-05-19 03:51:43

[v3] 2015-02-10 01:11:05

**Unique-IP document downloads:** 425 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*