JARAMILLO MEJIA, Víctor David; JARAMILLO MEJIA, Andrés Fernando    DIAZ ARCOS, Euclides. MATH MODELS APPROACH BIOECONOMIC: CASE ANALYSIS FOR MUTUAL LOTKA-VOLTERRA. []. , 14, 2, pp.98-119. ISSN 0124-8693.

This article seeks to generate an approximation to bioeconomic models by the theoretical-mathematical analysis from the mutualistic model of Lotka-Volterra, in order to demonstrate that cooperative relations are possible between two species and they are a solution to the environmental crisis and should be an alternative for food sustainability, environmental and humanitarian situation in all communities. It is necessary to built a conceptual analysis of the proposed model from the perspective of the bioeconomy and biodevelopment, then mathematical procedures will be made in order to facilitate understanding of mutual dynamics from the model proposed of Lotka-Volterra, demonstrating that two species can live in harmony by growth rates, capacity and competitiveness. It is concluded that the bioeconomy as an alternative development mode makes possible better territories, standing out agroecology as a working zone example.

JEL Classification: C35, C71, Q57

: Bioeconomy; Biodevelopment; model Lotka-Volterra mutualistic..

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