Struk O. Investigation of the Lotka - Volterra system with impulsive action

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U003280

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

14-10-2003

Specialized Academic Board

26.206.02

Essay

In the thesis a behaviour of solutions of Lotka - Volterra systems with impulsive action and of Lotka - Volterra systems with diffusion and impulsive action is studied. Conditions for the permanence, competitive extinction, for existence and uniqueness of a discontinuous periodic solution of the system are found. Using comparison method similar results for solutions of Lotka - Volterra systems with diffusion and impulses are obtained.

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