Exploration versus exploitation in space, mind, and society

TT Hills, PM Todd, D Lazer, AD Redish… - Trends in cognitive …, 2015 - cell.com
Search is a ubiquitous property of life. Although diverse domains have worked on search
problems largely in isolation, recent trends across disciplines indicate that the formal …

A user's guide to PDE models for chemotaxis

T Hillen, KJ Painter - Journal of mathematical biology, 2009 - Springer
Mathematical modelling of chemotaxis (the movement of biological cells or organisms in
response to chemical gradients) has developed into a large and diverse discipline, whose …

Slime mould algorithm: A new method for stochastic optimization

S Li, H Chen, M Wang, AA Heidari, S Mirjalili - Future generation computer …, 2020 - Elsevier
In this paper, a new stochastic optimizer, which is called slime mould algorithm (SMA), is
proposed based on the oscillation mode of slime mould in nature. The proposed SMA has …

Global dynamics of a three-species spatial food chain model

HY **, ZA Wang, L Wu - Journal of Differential Equations, 2022 - Elsevier
In this paper, we study the following initial-boundary value problem of a three-species
spatial food chain model {ut= d 1 Δ u+ u (1− u)− b 1 uv, x∈ Ω, t> 0 vt= d 2 Δ v−∇⋅(ξ v∇ u)+ …

Competition and biodiversity in spatially structured habitats

D Tilman - Ecology, 1994 - Wiley Online Library
All organisms, especially terrestrial plants and other sessile species, interact mainly with
their neighbors, but neighborhoods can differ in composition because of dispersal and …

[图书][B] Spatial ecology via reaction-diffusion equations

RS Cantrell, C Cosner - 2004 - books.google.com
Many ecological phenomena may be modelled using apparently random processes
involving space (and possibly time). Such phenomena are classified as spatial in their …

[图书][B] Diffusion and ecological problems: modern perspectives

A Okubo, SA Levin - 2001 - Springer
The story of this edition is a testament to an almost legendary gure in theoretical ecology
and to the in uence his work and charisma has had on the eld. It is also a story that can only …

Partial differential equations in ecology: spatial interactions and population dynamics

EE Holmes, MA Lewis, JE Banks, RR Veit - Ecology, 1994 - Wiley Online Library
Most of the fundamental elements of ecology, ranging from individual behavior to species
abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential …

A guide to area‐restricted search: a foundational foraging behaviour

A Dorfman, TT Hills, I Scharf - Biological Reviews, 2022 - Wiley Online Library
Area‐restricted search is the capacity to change search effort adaptively in response to
resource encounters or expectations, from directional exploration (global, extensive search) …

State–space models of individual animal movement

TA Patterson, L Thomas, C Wilcox… - Trends in ecology & …, 2008 - cell.com
Detailed observation of the movement of individual animals offers the potential to
understand spatial population processes as the ultimate consequence of individual …