Browsing Mathematics by Author "Townley, Stuart"
Now showing items 18 of 8

Bounds on the dynamics of sink populations with noisy immigration
Eager, Eric Alan; Guiver, Chris; Hodgson, David J.; Rebarber, Richard; Stott, Iain; Townley, Stuart (Elsevier, 2014)Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers ... 
Dynamics on networks of cluster states for globally coupled phase oscillators
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart (Society for Industrial and Applied Mathematics, 2007)Systems of globally coupled phase oscillators can have robust attractors that are heteroclinic networks. We investigate such a heteroclinic network between partially synchronized states where the phases cluster into three ... 
Integral control for population management
Guiver, Chris; Logemann, Hartmut; Rebarber, Richard; Bill, Adam; Tenhumberg, Brigitte; Hodgson, David J.; Townley, Stuart (Springer Verlag, 2014)We present a novel management methodology for restocking a declining population. The strategy uses integral control, a concept ubiquitous in control theory which has not been applied to population dynamics. Integral control ... 
Learning of spatio–temporal codes in a coupled oscillator system
Orosz, Gábor; Ashwin, Peter; Townley, Stuart (IEEE, 2009)In this paper, we consider a learning strategy that allows one to transmit information between two coupled phase oscillator systems (called teaching and learning systems) via frequency adaptation. The dynamics of these ... 
Positive state controllability of positive linear systems
Guiver, Chris; Hodgson, David J.; Townley, Stuart (Elsevier, 2014)Controllability of positive systems by positive inputs arises naturally in applications where both external and internal variables must remain positive for all time. In many applications, particularly in population biology, ... 
Robust setpoint regulation for ecological models with multiple management goals
Guiver, Chris; Mueller, Markus; Hodgson, David J.; Townley, Stuart (Springer Verlag, 20150805)Population managers will often have to deal with problems of meeting multiple goals, for example, keeping at specific levels both the total population and population abundances in given stageclasses of a stratified ... 
The role of population inertia in predicting the outcome of stagestructured biological invasions
Guiver, Chris; Dreiwi, Hanan; Filannino, DonnaMaria; Hodgson, David J.; Lloyd, Stephanie; Townley, Stuart (Elsevier, 201507)Deterministic dynamic models for coupled resident and invader populations are considered with the purpose of finding quantities that are effective at predicting when the invasive population will become established ... 
Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management
Guiver, Chris; Edholm, C; Jin, Y; Mueller, Markus; Powell, J; Rebarber, Richard; Tenhumberg, Brigitte; Townley, Stuart (Society for Industrial and Applied Mathematics, 20160204)Pest management is vitally important for modern arable farming, but models for pest species are often highly uncertain. In the context of pest management, control actions are naturally described by a nonlinear feedback ...