Self-healing time of population under dynamic disturbance

The stability of ecological system is inseparable from the self-healing ability of population. Therefore, exploring the self-healing of population after disturbance is of great significance to deeply understand the ecological stability. By constructing a pair approximation model, the special explicit dynamics of one population on disturbance is studied in this paper. In which, dynamic disturbance (which can be gradually restored) is used, and the self-healing time of the population is investigated. Through a mass of simulations, some interesting results are obtained. At a lower disturbance restoration rate, the population self-healing time will not be affected by the spatial correlation of disturbance, regardless of the dispersal mode of population and the existence of competition. Compared with local dispersal, global dispersal has more obvious advantages at medium disturbance restoration rate. The increase of disturbance restoration rate is not always conducive to the self-healing of population, and a higher disturbance restoration rate will increase the self-healing time. The results can give us some insights on ecological conservation.