Stability and bifurcation analysis of a ratio-dependent community dynamics model on Batesian mimicry

• Published in: Journal of mathematical biology Vol. 79; no. 1; pp. 329 - 368
• Main Authors: Kato, Hayato, Takada, Takenori
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019; Springer Nature B.V
• Subjects: Animal behavior; Applications of Mathematics; Batesian mimicry; Bifurcations; Coexistence; Coloration; Communities; Dynamic stability; Dynamics; Ecological monitoring; Geographical distribution; Mathematical and Computational Biology; Mathematical models; Mathematics; Mathematics and Statistics; Mimicry; Predation; Predators; Species; Stability; Stability analysis; Wildlife conservation; Transcritical bifurcation; 92D25 Population dynamics (general); Pitchfork bifurcation; Irreversibility; 92D40 Ecology; Ratio-dependent predator–prey system; 37N25 Dynamical systems in biology

Batesian mimicry is the similarity of coloration and patterns in an unpalatable species (the “model-species”) and a palatable species (the “mimic-species”). The resemblance is advantageous for the mimic-species because the mimic-species can deceive predators and avoid predation. While Batesian mimic...