Global behavior and the periodic character of some biological models

Springer Science and Business Media LLC - Tập 2020 - Trang 1-21 - 2020
Osama Moaaz1, Jan Awrejcewicz2, Hamida Mahjoub1,3
1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
2Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland
3Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya

Tóm tắt

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.

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