activity
20072011
most citedContinuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections

46 citations · 110 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.CD2011★ 1 cited

Irregularity in dengue fever epidemics: difference between first and secondary infections drives the rich dynamics more than the detailed number of strains

Maíra Aguiar, Bob W. Kooi, Nico Stollenwerk

Different extensions of the classical single-strain SIR model for the host population, motivated by modeling dengue fever epidemiology, have reported a rich dynamic structure inclu…

q-bio.PE2010★ 31 cited

Food Quality in Producer-Grazer Models: A Generalized Analysis

Dirk Stiefs, George A. K. van Voorn, Bob W. Kooi +2

Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that…

q-bio.PE2008★ 2 cited

Torus bifurcations, isolas and chaotic attractors in a simple dengue model with ADE and temporary cross immunity

Maira Aguiar, Nico Stollenwerk, Bob W. Kooi

We analyse an epidemiological model of competing strains of pathogens and hence differences in transmission for first versus secondary infection due to interaction of the strains w…

math.DS2008★ 30 cited

Continuation of connecting orbits in 3D-ODEs: (II) Cycle-to-cycle connections

E. J. Doedel, B. W. Kooi, Yu. A. Kuznetsov +1

In Part I of this paper we discussed new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary cond…

math.DS2007★ 46 cited

Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections

E. J. Doedel, B. W. Kooi, Yu. A. Kuznetsov +1

We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions. In our approach, t…