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July  2007, 8(1): 187-205. doi: 10.3934/dcdsb.2007.8.187

Biodiversity through co-opetition

Julián López-Gómez 1, and  M. Molina-Meyer 2,

1. 

Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040-Madrid
2. 

Department of Applied Mathematics, Carlos III University, 28911-Leganés, Madrid, Spain

Received  July 2005 Revised  February 2006 Published  April 2007

Ecology, Economy and Management Science require a huge interdisciplinary effort to ascertain the hidden mechanisms driving the evolution of communities and firm networks. This article shows that strategic alliances in competitive environments might provoke an explosive increment of productivity and stability through a feedback mechanism promoted by cooperation, while competition causes segregation within cooperative profiles. Some further speciation and radiation mechanisms enhancing innovation, facilitated by environmental heterogeneities, or specific market regulations, might explain the biodiversity of life and the high complexity of industrial and financial markets. Extinctions are likely to occur by the lack of adaptation of the strongest competitors to sudden environmental stress.
Keywords: segregation, inter-firm alliances, Competition, biodiversity, cooperation, financial complexity..
Mathematics Subject Classification: Primary: 35K50, 91D25; Secondary: 91B62, 92D2.
Citation: Julián López-Gómez, M. Molina-Meyer. Biodiversity through co-opetition. Discrete and Continuous Dynamical Systems - B, 2007, 8 (1) : 187-205. doi: 10.3934/dcdsb.2007.8.187
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