Stage-structured Model of a Single-species with Density-dependent and Birth Pulses

To discrete population model for a single-species with harvesting is considered,local stability and global stability are given,with adequate control of harvesting capacity causing the single-species in chaos states to stability.

In this paper,we study the permanence of positive solutions for the nonautonomous single-species Kolmogorov system with delays and feedback controls in a very general and rather weak conditions.

By virtue of differential theory,a theoretical model for growth and decline of single population was derived as follows.

The mathematical basis of population regulation and control on single population is clarified, the types of population regulation and control are grouped into three classifications and eight sub classifications, and examples are given by the different stem tiller formations of rice to prove above the results.

The new algorithm was based on single population without intermediate population,in which mutation operation,crossover operation and selection operation were used on the current population.

Permanence for single species model with feedback control and finite continuous delays

In this paper,we study single species model with feedback control by using the methods which have been used in [1-3].

This paper makes a detailed analysis of the stability of Harvest model describing the dynamic characteristics of the pupulation of a single race.

Based on regarding the toxin input rate as control variable, the article has researched into the optimal control problem of linearized single species system and gained a result that the system at near fixed species quantities can be controlled optimally.