Population dynamics for systems with cyclic predator–prey relations and pheromone dependent movement

O. Kayacan and M. Middendorf

Physica A: Statistical Mechanics and its Applications, 2021, vol. 580, issue C

Abstract: Predator-prey dynamics is an important field of study to understand population dynamics in ecosystems. In nature, some predators use olfactory information, e.g., pheromone released by the prey, to locate their prey. Population dynamics is investigated in this paper for the case of three species with cyclic predator–prey relations and (artificial) pheromone on a one-dimensional lattice. Using computer simulations we study a three-species model for different pheromone evaporation rates. The results reveal that the survival of three species depends on the evaporation rate. At a sufficiently low evaporation rate and high densities, a phase transition takes place. Before the phase transition, three species coexist at the same time. After the phase transition, however, two species are extinct and only one species survives. For a sufficiently high value of evaporation rate, there does not happen a phase transition and three species coexist at all densities. The critical density at which phase transition takes place depends on the value of the evaporation rate.

Keywords: Complex systems; Predator–prey model; Cellular automata; Pheromone (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004106

DOI: 10.1016/j.physa.2021.126137

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