Mathematic Modeling

Canard curves in the dynamic model of forest insect pests

E. V. Troshkina

The Dept. of Technical Cybernetics, Samara State Aerospace University, Samara, 443001, Russian Federation

Abstract: The paper is concerned with the investigation of the model of dynamics of population of caterpillar budworm (Choristoneura fumiferana). The system solutions behavior depending on the parameters values has been investigated, conditions of origination of canard curves have been found.

Keywords: population model, slow-fast system, canard curves.

UDC: 517.9

Received: 18.11.2013
Revised: 19.12.2013