Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition

Xueyang Liu; Qi Wang

doi:10.3842/umzh.v76i1.7295

Xueyang Liu School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, China
Qi Wang School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, China

DOI: https://doi.org/10.3842/umzh.v76i1.7295

Keywords: hematopoiesis model, nonstandard finite difference scheme, bifurcation

Abstract

UDC 517.9

Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition is studied by using a nonstandard finite-difference scheme. We prove that a series of numerical Neimark–Sacker bifurcations appear at the positive equilibrium as the time delay increases. At the same time, the parameter conditions for the existence of numerical Neimark–Sacker bifurcations at positive equilibrium point are presented. Finally, we use several examples to verify the accuracy of the results.

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