Lattice and Lattice Gas Models for Commensalism: Two Shellfishes in Intertidal Zone  

作　　者：Hiroki Yokoi Takashi Uehara Takashi Kawai Yasuo Tateoka Kei-Ichi Tainaka 

机构地区：[1]Faculty of Science, University of Ryukyus, 1-Senbaru, Nishihara, Nakagami, Okinawa, Japan [2]Graduate School of Science and Technology, Shizuoka University, Naka-ku, Hamamatsu, Japan

出　　处：《Open Journal of Ecology》2014年第11期671-677,共7页生态学期刊（英文）

摘　　要：The study of mutual interactions in an intertidal zone is important. We are interested in two sessile shellfishes, mussel (Septifer virgatus: species X) and goose barnacle (Capitulum mitella: species Y). Both species X and Y have similar body sizes, and live in an intertidal zone. Their relation is known to be a kind of commensalism: the survival rate of X increases near the location of Y. In contrast, Y receives no gain from X. In the present paper, we present lattice and lattice gas models for commensalism. The latter is mean-field theory of the former. It is found that the relation of commensalism is not stable. Under certain conditions, the competition prevails between both species;if the density of Y is high, the species X receives a damage originated in the limiting space. Moreover, we find that the basic equation derived by lattice gas model well explains the population dynamics for lattice model.The study of mutual interactions in an intertidal zone is important. We are interested in two sessile shellfishes, mussel (Septifer virgatus: species X) and goose barnacle (Capitulum mitella: species Y). Both species X and Y have similar body sizes, and live in an intertidal zone. Their relation is known to be a kind of commensalism: the survival rate of X increases near the location of Y. In contrast, Y receives no gain from X. In the present paper, we present lattice and lattice gas models for commensalism. The latter is mean-field theory of the former. It is found that the relation of commensalism is not stable. Under certain conditions, the competition prevails between both species;if the density of Y is high, the species X receives a damage originated in the limiting space. Moreover, we find that the basic equation derived by lattice gas model well explains the population dynamics for lattice model.

关 键 词：LATTICE GAS Model COMMENSALISM POPULATION Dynamics COMPETITION Phase DIAGRAM 

分 类 号：R73[医药卫生—肿瘤]