One of the first interaction functionals is the Holling I interaction functional \(\mathit '(\upsilon )<0\) for υ sufficiently small). More precisely, let us assume that \(x(t)\) and \(y(t)\) are the densities of the prey and predator populations at the time t, respectively. Each one describes a specific manner of intermingling between two species. However, this ratio can vary widely among. There are many types of these functionals in the literature. The relative body size at which predators are willing to attack prey, a key trait for predator-prey interactions, is usually considered invariant. The crucial component that describes the interaction between different species in a certain environment is the interaction functional. The validity of this mathematical approximation depends on the model itself. Mathematical modeling of the real-world phenomenon is a potent tool for predicting some ecological and biological components. Students can list those animals on the card or a. Discuss with students what animals their predator may eat. Hide prey items around the room that the predators might eat. The predators should vary, such as owls, jaguars, sharks and alligators. We test the obtained mathematical results numerically by a proper numerical scheme built using the Caputo fractional-derivative operator and the trapezoidal product-integration rule. Provide each student with a card that shows the picture and name of a predator. Further, we investigate the impact of the memory measured by fractional time derivative on the temporal behavior. We successfully establish the existence and stability of the equilibria. The primary presumption in the model construction is the competition between two predators on the only prey, which gives a strong implication of the real-world situation. Most of the published work describes the mathematical system of predators and prey. In this paper, we discuss a prey–predator interaction model that includes two competitive predators and one prey with a generalized interaction functional. The prey population increases when no predators are present, and the predator population decreases when prey are scarce. prey and predator is studied theoretically and numerically. The study of these systems requires the use of precise and advanced computational methods in mathematics. Important examples of these systems are biological models that describe the characteristics of complex interactions between certain organisms in a biological environment. The behavior of any complex dynamic system is a natural result of the interaction between the components of that system.
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