Bifurcations in nonlinear integral models of biological systems

Authors:
N. Hritonenko;Yuri Yatsenko
Affiliations:
Department of Mathematics, Prairie View A&M University, Texas;College of Business and Economics, Houston Baptist University, Houston, Texas
Venue:
International Journal of Systems Science
Year:
2007

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Abstract

A bifurcation analysis is suggested for nonlinear integral models of age-distributed biological populations. The analysis shows that the integral model of one-species population with intraspecies competition has zero and positive stationary states for some values of a bifurcation parameter. The nontrivial positive stationary state is initially stable and becomes unstable as the parameter grows. The obtained results are discussed and compared with the corresponding results in differential and difference models.