Various types of culling strategies are formulated and introduced into the leslie model as control inputs, and their effect on global asymptotic stability is investigated. We consider the problem of optimal stabilization and control of populations which follow the leslie model dynamics, within state space and control systems theory and methodology. The leslie matrix is a square matrix with the same number of rows and columns as the population vector has elements. How teachers and students can make the quick transition to online learning. Optimal population stabilization and control using the leslie. Develop a lefkovitch matrix model, l, using the mean probabilities from table 14 with a fecundity of 7,500 female eggs and determine the. Evlin aidee ramirez felix 1 y 2, juan fernando marquezfarias 3, zaul garcia esquivel 4 y sergio gustavo castillo vargasmachuca 2. The i,jth cell in the matrix indicates how many individuals will be in the age class i at the next time step for each individual in stage j. At each time step, the population vector is multiplied by the leslie matrix to. Jan 29, 2014 algebra matriz diagonal universidad unicoos matematicas diagonalizacion. Algebra matriz diagonal universidad unicoos matematicas. Projection matrix models are widely used in population biology to project the present state of a population into the future, either as an attempt to forecast population dynamics, or as a way to. Modelos matriciales poblacionales ri uagro universidad. Lifetable approach cohort analysis follow cohort through time or approximate with timespecific techniques.
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