Kolmogorov population models
| Supervisor | prof. RNDr., Irena Rachůnkova, DrSc. |
| Name | Kolmogorov population models |
| Type | Bachelor |
| Status | Assigned |
| Description | Description of population models for two populations with mutualism. At first for linear growth functions and then for general nonlinear growth functions. Investigate the models by means of the theory of dynamical systems. For particular parameters construct phase portraits and describe long-time behavior of both populations.
Literature: F. Brauer, C. Castillo-Chávez: Mathematical Models in Population Biology and Epidemiology, Springer, New York, 2001. J. Hale, H. Kocak: Dynamics nad Bifurcations. Springer, New York 1991. D.W. Jordan, P.Smith: Nonlinear Ordinary Di erential Equations, Oxford Univ. Press, 1999. L. Perko: Di erential Equations and Dynamical Systems. Springer, New York 1991. J. Kalas, M. Ráb: Obyčejné diferenciální rovnice, Brno, 1995.
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