|Dr. Marcus R Garvie
A regularized spatially-extended predator-prey system
Another classical predator-prey system involving space and time has the form
where 'p(x,t)' and 'h(x,t)' are population densities of predators and prey, and 'd1' and
'd2' are the diffusion coefficients. For appropriate choices of the positive parameters 'A',
'B', and 'C' the kinetics possess a limit cycle. From a rigorous mathematical point of view
these equations are challenging because of the singular term in the 2nd equation when 'h' is zero.
To overcome this difficulty we are undertaking the analysis and numerical analysis of the
associated regularised problem, where we modify the singular term via
for some arbitrary, but small epsilon.