Now showing items 1-2 of 2
Bifurcation Analysis of a Predator-Prey System With Nonmonotonic Function Response
(SIAM Journal on Applied Mathematics, 2002)
We consider a predator-prey system with nonmonotonic functional response: p(x) = mx /(ax2 +bx+1) . By allowing b to be negative (b > −2√a), p(x) is concave up for small values of x > 0 as it is for the sigmoidal functional ...
Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type
(Journal of Differential Equations (Elsevier Science), 2002)
In this paper we prove finite cyclicity of several of the most generic graphics through a nilpotent point of saddle or elliptic type of codimension 3 inside C . families of planar vector fields. In some cases our results ...