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

Анотація

УДК 517.9

Чисельна біфуркація моделі сповільненого дифузного кровотворення з граничною умовою Діріхле

За допомогою нестандартної скінченно-різницевої схеми досліджено числову біфуркацію в моделі сповільненого дифузійного кровотворення з граничною умовою Діріхле. Доведено, що при збільшенні часу запізнення в точці позитивної рівноваги з'являється серія числових біфуркацій Неймарка–Сакера. Крім того, наведено параметричні умови існування числових біфуркацій Неймарка–Сакера в точці позитивної рівноваги. Насамкінець наведено кілька прикладів для перевірки точності отриманих результатів.

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