脆弱斑块生境阶段结构种群的扩散效应

Effects of diffusion on the growth of stage-structured population dynamics in fragile environment

人类活动使种群的栖息地斑块化 ,进而使其成为脆弱生境 ,导致种群数量减少 .针对这一现象建立了脆弱斑块生境阶段结构种群动力学模型 ,运用微分方程定性理论、合作系统理论 ,得到该种群动力学模型存在唯一全局渐进稳定的正平衡态 ,说明扩散有利于种群的生长 .该研究结果为保护种群生长和生物多样性提供了理论决策依据 .

Since the human activities, many living and breeding area were damaged and led to patch or fragile environment and the decreasing of the population size. In this paper, stage structured models are introduced and studied to analyze this phenomenon. By applying the qualitative theory of differential equation, cooperative theory, the dynamic behaviors of the population are studied. The unique and positive equilibrium which is globally stable are obtained. This reveals that the diffusion effect on the growth of species in fragile environment is obvious. The results of this research provide gist for protecting species.