Interaction and coexistence with self-regulating species

Haoqi Zhu, Maoxiang Wang and Fenglan Hu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 502, issue C, 447-458

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.

Keywords: Self-regulation species; Lotka–Volterra model; Population dynamics; Wave propagation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:502:y:2018:i:c:p:447-458

DOI: 10.1016/j.physa.2018.02.082

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