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Interaction and coexistence with self-regulating species

Author

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  • Zhu, Haoqi
  • Wang, Maoxiang
  • Hu, Fenglan

Abstract

Based on Lotka–Volterra (LV) system with spatial diffusion we study a self-regulating species, whose interactions can change with the other’s population size. These interactions can be divided into four types described by the interaction portrait. The activity of self-regulation in population also depends on the opposite species, when the opposite species is strong competitive, the self-regulating species cannot adjust its population actively until the roles reverse. Furthermore the way of coexistence with self-regulating system, including competition-coexistence and parasitism-coexistence is discussed; it suggests that proper competition is better to acquire larger total population than a single sacrifice as a host. Moreover both self-regulation and spatial diffusion may be opportunities to switch the final surviving species, but self-regulation can result into stable situation and promote the diversity, in accordance with Darwin’s theory of evolution.

Suggested Citation

  • Zhu, Haoqi & Wang, Maoxiang & Hu, Fenglan, 2018. "Interaction and coexistence with self-regulating species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 447-458.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:447-458
    DOI: 10.1016/j.physa.2018.02.082
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    References listed on IDEAS

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    1. Alberto Pascual-García & Ugo Bastolla, 2017. "Mutualism supports biodiversity when the direct competition is weak," Nature Communications, Nature, vol. 8(1), pages 1-13, April.
    2. Stefano Allesina & Si Tang, 2012. "Stability criteria for complex ecosystems," Nature, Nature, vol. 483(7388), pages 205-208, March.
    3. Wang, Mao-Xiang & Ma, Yu-Qiang, 2014. "Population evolution in mutualistic Lotka–Volterra system with spatial diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 228-235.
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