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本文按照Markov链的基本理论和要求,对合肥地区二代稻纵卷叶螟自然种群生命表资料进行综合处理,使之符合Markov链的特征,然后建立网络模型,最后转入leslie矩阵模型,根据方阵性质Ax=λx求得最大特征值λ=0.912,最大特征向量为[186 132 67 34 17 1]~T,并根据Williamson公式,内禀自然增长率γ_m=1nλ求得γm=-9.21% 表明该虫种群数量呈收敛趋势。本方法简便,只要根据矩阵模型的性质,运用纯数学演绎逻辑,就可解决害虫种群生命表分析的主要问题。
In this paper, according to the basic theory and requirements of Markov chain, the life table data of the second generation rice leaf roller of Hefei were comprehensively processed to make it fit the characteristics of Markov chain. Then the network model was established and finally transformed into the leslie matrix model. The maximum eigenvalue λ = 0.912 and the largest eigenvector is [186 132 67 34 17 1] ~ T obtained from the square matrix property Ax = λx, and γm = -9.21% is obtained according to the Williamson formula and intrinsic natural growth rate γ_m = 1nλ. It showed that the population of the pest was convergent. The method is simple, as long as the pure mathematical deduction logic is used according to the nature of the matrix model, the main problems of pest population life table analysis can be solved.