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MATHEMATICAL METHODS IN POPULATION DYNAMICS

Without a doubt, the study in mathematical modeling is current, it is of vital importance in ecological studies, naturally some arise in population dynamics, highlighting the role of mathematical analysis that allows optimizing decision making in a certain behavior. The main objective is the study of the logistic model, to give way to the classic model of the Lotka-Volterra type without diffusion. At the end, an analysis of the model case with diffusion is made, and much attention is paid to linear and nonlinear models. Algorithmic results make sense to explain natural phenomena, growth that can be: a cell, an organ, a human being, a plant or a population, better if it is a fundamental problem of biology.

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MATHEMATICAL METHODS IN POPULATION DYNAMICS

  • DOI: 10.22533/at.ed.3173372325101

  • Palavras-chave: Population dynamics, model without diffusion, model with diffusion.

  • Keywords: Population dynamics, model without diffusion, model with diffusion.

  • Abstract:

    Without a doubt, the study in mathematical modeling is current, it is of vital importance in ecological studies, naturally some arise in population dynamics, highlighting the role of mathematical analysis that allows optimizing decision making in a certain behavior. The main objective is the study of the logistic model, to give way to the classic model of the Lotka-Volterra type without diffusion. At the end, an analysis of the model case with diffusion is made, and much attention is paid to linear and nonlinear models. Algorithmic results make sense to explain natural phenomena, growth that can be: a cell, an organ, a human being, a plant or a population, better if it is a fundamental problem of biology.

  • ALBERTO GUTIERREZ BORDA
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