具有交叉扩散的全寄生药用植物和寄主植物共存问题

Coexistence of holoparasitic medical plant species and their host plant species with cross-diffusion

目的:探讨具有交叉扩散的全寄生药用植物和寄主植物共存条件,促进资源可持续发展。方法:利用生物数学方法进行研究。结果:建立了具有交叉扩散的全寄生药用植物和寄主植物的种群模型;获得了药用植物资源可持续利用的一些条件。结论:增大寄主植物的密度,使得其密度的最小值大于一个与寄生药用植物相关的量;同时,控制寄生药用植物密度,使得其最大值必须要小于一个与寄主植物相关的量。

Objective:To promote the sustainable use of the resources, the coexistence conditions of holoparasitic medical plant species and their host plant species with cross-diffusion were investigated.Method:The methods of biomathematics were used.Result:The species model for the holoparasitic medical plant species and their host plant species with cross-diffusion was established, and some conditions of the sustainable use were obtained. Conclusion:It is necessary to increase the population density of the host plant species, that is, the minimum is greater than some amount depending on the holoparasitic medical plant species, and to decrease the population density of holoparasitic medical plant species, that is, the maximum is smaller than another amount depending on the host plant species.