Biomaterial Database

A stochastic differential equation model for the foraging behavior of fish schools. 2018

Tôn Việt Tạ, and Linh Thi Hoai Nguyen

Center for Promotion of International Education and Research, Faculty of Agriculture, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan.

Constructing models of living organisms locating food sources has important implications for understanding animal behavior and for the development of distribution technologies. This paper presents a novel simple model of stochastic differential equations for the foraging behavior of fish schools in a space including obstacles. The model is studied numerically. Three configurations of space with various food locations are considered. In the first configuration, fish swim in free but limited space. All individuals can find food with large probability while keeping their school structure. In the second and third configurations, they move in limited space with one and two obstacles, respectively. Our results reveal that the probability of foraging success is highest in the first configuration, and smallest in the third one. Furthermore, when school size increases up to an optimal value, the probability of foraging success tends to increase. When it exceeds an optimal value, the probability tends to decrease. The results agree with experimental observations.

UI	MeSH Term	Description	Entries
D008954	Models, Biological	Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.	Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D011336	Probability	The study of chance processes or the relative frequency characterizing a chance process.	Probabilities
D005247	Feeding Behavior	Behavioral responses or sequences associated with eating including modes of feeding, rhythmic patterns of eating, and time intervals.	Dietary Habits,Eating Behavior,Faith-based Dietary Restrictions,Feeding Patterns,Feeding-Related Behavior,Food Habits,Diet Habits,Eating Habits,Behavior, Eating,Behavior, Feeding,Behavior, Feeding-Related,Behaviors, Eating,Behaviors, Feeding,Behaviors, Feeding-Related,Diet Habit,Dietary Habit,Dietary Restriction, Faith-based,Dietary Restrictions, Faith-based,Eating Behaviors,Eating Habit,Faith based Dietary Restrictions,Faith-based Dietary Restriction,Feeding Behaviors,Feeding Pattern,Feeding Related Behavior,Feeding-Related Behaviors,Food Habit,Habit, Diet,Habit, Dietary,Habit, Eating,Habit, Food,Habits, Diet,Pattern, Feeding,Patterns, Feeding,Restrictions, Faith-based Dietary
D005399	Fishes	A group of cold-blooded, aquatic vertebrates having gills, fins, a cartilaginous or bony endoskeleton, and elongated bodies covered with scales.
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia
D013550	Swimming	An activity in which the body is propelled through water by specific movement of the arms and/or the legs. Swimming as propulsion through water by the movement of limbs, tail, or fins of animals is often studied as a form of PHYSICAL EXERTION or endurance.