On the analytical study of predator–prey model with Holling-II by using the new modified extended direct algebraic technique and its stability analysis

Autor: Tahir Shahzad, Muhammad Zafarullah Baber, Muhammad Ozair Ahmad, Nauman Ahmed, Ali Akgül, Syed Mansoor Ali, Mubasher Ali, Sayed M. El Din
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Results in Physics, Vol 51, Iss , Pp 106677- (2023)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2023.106677
Popis: The current study is concerned with a predator–prey model with a functional response of Holling type II that includes prey refuge and diffusion. These types of equations arise in different fields, such as biomathematics , biophysics, polymer rheology, agriculture, thermodynamics, blood flow phenomena, aerodynamics, capacitor theory, electrical circuits, electron-analytical, chemistry, control theory, fitting of experimental data. The underlying model is analytically investigated by a technique, namely a new extended direct algebraic method (NEDAM). The single and combined wave solutions are observed in shock, complex solitary-shock, shock-singular, and periodic-singular forms. The rational solutions are also emerged during the derivation. The stability of the model is discussed. There is also a section about unique physical problems. The 3D, 2D, and line graphs are plotted for different values of parameters.
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