Analytical survey of the predator–prey model with fractional derivative order
Souleymanou Abbagari, Alphonse Houwe, Youssoufa Saliou, Douvagaï, Yu‐Ming Chu, Mustafa İnç, Hadi Rezazadeh, Serge Y. Doka
Abstract
This work addresses the analytical investigation of the prey–predator behavior modeled by nonlinear evolution equation systems with fractional derivative order. Through the New Extended Algebraic Method (NEAM), we unearthed diverse types of soliton solutions including bright, dark solitons, combined trigonometric function solutions, and singular solutions. Besides the results obtained in the work of Khater, some new complex soliton solutions are also unearthed. The NEAM can also be used like the synthesis of the two mathematical tools.
Topics & Concepts
Trigonometric functionsTrigonometryFractional calculusNonlinear systemOrder (exchange)Algebraic numberSolitonApplied mathematicsWork (physics)Function (biology)Derivative (finance)MathematicsMathematical analysisPhysicsQuantum mechanicsGeometryFinancial economicsEvolutionary biologyBiologyEconomicsFinanceNonlinear Waves and SolitonsFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical Systems