A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra

Ahmad Fadillah Embong, and Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, (2024) A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra. Journal of Quality Measurement and Analysis, 20 (1). pp. 205-213. ISSN 2600-8602


Official URL: http://www.ukm.my/jqma


This paper aims to investigate the simplest non-linear Markov operators which is the quadratic. Study of quadratic stochastic operators (QSOs) is not an easy task as linear operators. Thus, researchers introduced classes of QSOs such as Volterra QSOs, strictly non-Volterra QSOs, Orthogonal preserving QSOs, Centered QSOs etc. However, all the introduced classes were not yet cover the whole set of QSOs. Therefore, we introduce a new class of QSOs, namely b-bistochastic-Volterra QSOs or simply bV-QSOs. In this paper, we describe the canonical form of bV-QSO on two-dimensional simplex. This helps understanding the dynamical behaviours of bV-QSOs for future works.

Item Type:Article
Keywords:Quadratic operator; Markov operator; B-Bistochatic; Volterra; Two-sex population; Bisexual population
Journal:Journal of Quality Measurement and Analysis
ID Code:23631
Deposited By: Mr. Mohd Zukhairi Abdullah
Deposited On:06 Jun 2024 06:35
Last Modified:10 Jun 2024 01:34

Repository Staff Only: item control page