Publication details

Two parametric bifurcation in LPA model



Year of publication 2015
Type Article in Proceedings
Conference Proceedings of CHAOS 2015 International Conference
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords two parametric bifurcation; LPA model; Tribolium model; strong 1:2 resonance; Chenciner bifurcation
Description The structured population LPA model describes our beetle population dynamics of four stage populations: eggs, larvae, pupae, and adults with cannibalism between these stages. The case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs. This assumption is necessary to make at least some calculations analytically. It is shown that the behavior can be continued to the generic model with non-zero cannibalistic rate of larvae on eggs. In the model exist both supercritical and subcritical strong 1:2 resonance. The bi- furcation responsible for the change of topological type of the strong 1:2 resonance is study. This bifurcation is accompanied by the origination of the Chenciner bifur- cation. The destabilization of the system is caused by two parametric bifurcation is study together with its biological consequences.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info