Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models

Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models

Blog Article

We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models Document case with generalized rational functional response, any algebraic solution should be a rational function.As a consequence, limit Butterfly Wooden Plaque cycles, which are unique for these dynamical systems, are necessarily trascendental ovals.We exemplify these findings by showing a numerical simulation within a system arising from zooplankton-phytoplankton dynamics.