American Institute of Mathematical Sciences

Advanced
  • Previous Article
    Modeling the rock - scissors - paper game between bacteriocin producing bacteria by Lotka-Volterra equations
  • DCDS-B Home
  • This Issue
  • Next Article
    Periodic solutions in a delayed predator-prey models with nonmonotonic functional response
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 & Continuous Dynamical Systems - B, 2007, 8 (1) : 187-205. doi: 10.3934/dcdsb.2007.8.187
[1]

Xiaojie Hou, Yi Li. Traveling waves in a three species competition-cooperation system. Communications on Pure & Applied Analysis, 2017, 16 (4) : 1103-1120. doi: 10.3934/cpaa.2017053
[2]

Giovanny Guerrero, José Antonio Langa, Antonio Suárez. Biodiversity and vulnerability in a 3D mutualistic system. Discrete & Continuous Dynamical Systems - A, 2014, 34 (10) : 4107-4126. doi: 10.3934/dcds.2014.34.4107
[3]

Alfredo Daniel Garcia, Martin Andrés Szybisz. Financial liquidity: An emergent phenomena. Journal of Dynamics & Games, 2020, 7 (3) : 209-224. doi: 10.3934/jdg.2020015
[4]

Joe Yuichiro Wakano. Spatiotemporal dynamics of cooperation and spite behavior by conformist transmission. Communications on Pure & Applied Analysis, 2012, 11 (1) : 375-386. doi: 10.3934/cpaa.2012.11.375
[5]

Bashar Ibrahim. Mathematical analysis and modeling of DNA segregation mechanisms. Mathematical Biosciences & Engineering, 2018, 15 (2) : 429-440. doi: 10.3934/mbe.2018019
[6]

Cheng-Kang Chen, Yi-Xiang Liao. A deteriorating inventory model for an intermediary firm under return on inventory investment maximization. Journal of Industrial & Management Optimization, 2014, 10 (4) : 989-1000. doi: 10.3934/jimo.2014.10.989
[7]

Ioannis Baltas, Anastasios Xepapadeas, Athanasios N. Yannacopoulos. Robust portfolio decisions for financial institutions. Journal of Dynamics & Games, 2018, 5 (2) : 61-94. doi: 10.3934/jdg.2018006
[8]

Ronnie Pavlov, Pascal Vanier. The relationship between word complexity and computational complexity in subshifts. Discrete & Continuous Dynamical Systems - A, 2020  doi: 10.3934/dcds.2020334
[9]

Ziteng Wang, Shu-Cherng Fang, Wenxun Xing. On constraint qualifications: Motivation, design and inter-relations. Journal of Industrial & Management Optimization, 2013, 9 (4) : 983-1001. doi: 10.3934/jimo.2013.9.983
[10]

Stefano Galatolo. Orbit complexity and data compression. Discrete & Continuous Dynamical Systems - A, 2001, 7 (3) : 477-486. doi: 10.3934/dcds.2001.7.477
[11]

Valentin Afraimovich, Lev Glebsky, Rosendo Vazquez. Measures related to metric complexity. Discrete & Continuous Dynamical Systems - A, 2010, 28 (4) : 1299-1309. doi: 10.3934/dcds.2010.28.1299
[12]

Jie Li, Xiangdong Ye, Tao Yu. Mean equicontinuity, complexity and applications. Discrete & Continuous Dynamical Systems - A, 2020  doi: 10.3934/dcds.2020167
[13]

Christian Hofer, Georg Jäger, Manfred Füllsack. Critical transitions and Early Warning Signals in repeated Cooperation Games. Journal of Dynamics & Games, 2018, 5 (3) : 223-230. doi: 10.3934/jdg.2018014
[14]

Lea Ellwardt, Penélope Hernández, Guillem Martínez-Cánovas, Manuel Muñoz-Herrera. Conflict and segregation in networks: An experiment on the interplay between individual preferences and social influence. Journal of Dynamics & Games, 2016, 3 (2) : 191-216. doi: 10.3934/jdg.2016010
[15]

Karan Pattni, Mark Broom, Jan Rychtář. Evolving multiplayer networks: Modelling the evolution of cooperation in a mobile population. Discrete & Continuous Dynamical Systems - B, 2018, 23 (5) : 1975-2004. doi: 10.3934/dcdsb.2018191
[16]

Eva Stadler, Johannes Müller. Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case. Discrete & Continuous Dynamical Systems - B, 2020, 25 (11) : 4127-4164. doi: 10.3934/dcdsb.2020091
[17]

Zhenyu Zhang, Lijia Ge, Fanxin Zeng, Guixin Xuan. Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary properties. Advances in Mathematics of Communications, 2015, 9 (1) : 9-21. doi: 10.3934/amc.2015.9.9
[18]

P. Daniele, S. Giuffrè, S. Pia. Competitive financial equilibrium problems with policy interventions. Journal of Industrial & Management Optimization, 2005, 1 (1) : 39-52. doi: 10.3934/jimo.2005.1.39
[19]

Emmanuel Frénod, Jean-Philippe Gouigoux, Landry Touré. Modeling and solving alternative financial solutions seeking. Journal of Industrial & Management Optimization, 2015, 11 (1) : 145-170. doi: 10.3934/jimo.2015.11.145
[20]

Francesca Biagini, Jacopo Mancin. Financial asset price bubbles under model uncertainty. Probability, Uncertainty and Quantitative Risk, 2017, 2 (0) : 14-. doi: 10.1186/s41546-017-0026-3

2019 Impact Factor: 1.27

Tools

Metrics

  • PDF downloads (40)
  • HTML views (0)
  • Cited by (4)

Other articles
by authors

[Back to Top]

Copyright © 2020 American Institute of Mathematical Sciences