Global behavior and the periodic character of some biological models

Advances in Difference Equations

article

Moaaz, Osama¹  Awrejcewicz, Jan²  Mahjoub, Hamida¹ 

[1] Department of Mathematics, Faculty of Science, Mansoura University;Department of Automation, Lodz University of Technology;Department of Mathematics, Faculty of Science, University of Benghazi

关键词: Population model;    Equilibrium points;    Local and global stability;    Periodic solution;   

DOI  :  10.1186/s13662-020-02868-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Biological models are usually described using difference equations. As a result, we are - in this work - interested in studying a general difference model which includes two biological models as special cases. In detail, we study the qualitative behaviors (local and global stability, boundedness and periodicity character) of a general difference model. Furthermore, we apply our general results to the population model with two age classes and the flour beetle model.

【 授权许可】

CC BY