Open AccessSpatiotemporal complexity of a diffusive planktonic system with prey-taxis and toxic effects
Author(s) -
Kejun Zhuang,
Wenqian You,
Jia Gao
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20190094
Subject(s) - taxis , zooplankton , bifurcation , mathematics , diffusion , biological system , stability (learning theory) , steady state (chemistry) , predation , control theory (sociology) , functional response , constant (computer programming) , plankton , partial differential equation , differential equation , statistical physics , mathematical analysis , thermodynamics , ecology , physics , chemistry , computer science , biology , nonlinear system , botany , control (management) , quantum mechanics , machine learning , artificial intelligence , predator , programming language
In this paper, we propose a three-species reaction-diffusion planktonic system with prey-taxis and toxic effects, in which the zooplankton can recognize the nontoxic and toxin-producing phytoplankton and can make proper response. We first establish the existence and stability of the unique positive constant equilibrium solution by utilizing the linear stability theory for partial differential equations. Then we obtain the existence and properties of nonconstant positive solutions by detailed steady state bifurcation analysis. In addition, we obtain that change of taxis rate will result in the appearance of time-periodic solutions. Finally, we conduct some numerical simulations and give the conclusions.
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