Shahzad, TahirBaber, Muhammad ZafarullahAhmad, Muhammad OzairAhmed, NaumanAkgul, AliAli, Syed MansoorAli, Mubasher2024-12-242024-12-2420232211-3797https://doi.org/10.1016/j.rinp.2023.106677https://hdl.handle.net/20.500.12604/6747The 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.eninfo:eu-repo/semantics/openAccessPredator-prey modelNew extended direct algebraic method(NEDAM)Analytical solutionsStability analysisArticle51Q1WOS:001044113300001Q12-s2.0-8516541273610.1016/j.rinp.2023.106677