Numerical simulation is performed to justify the analytical findings. The system and its value is described by environmental stochasticity in the form of Gaussian white noise. 3.3.2 Neural ordinary differential equation analysis. In this research article, a two prey-one predator system with intra specific competition and self-interaction is investigated and its dynamics are. It has also been applied to many other fields, including economics. Time delay drives the system from stable to unstable state. The time series displays characteristic 10-year long preypredator oscillations. Predator-Prey Equations Descriptions: The classic Lotka-Volterra model of predator-prey competition, which describes interactions between foxes and rabbits, or big fish and little fish, is the foundation of mathematical ecology. Differential equations can be used to represent the size of a population as it varies over time. We have a function, f, which tells us the rate of change. Stability of the delayed model is investigated and it is observed that stability of the system is dependent on time delay. Continuous dynamical systems generally take the form of ordinary differential equations (ODEs). Also the point Ee(,, ) is investigated for the local and global stability of the system. The necessary and sufficient condition for the existence of positive interior equilibrium point E6(,, ) is obtained. Solve the LotkaVolterra predatorprey model of (3.4) with the parameters. The occurrence of possible equilibrium points and stability of the system at those points is examined. The positivity of the solution and boundedness of the system is studied. List any biological factors that you feel would effect the value of p. Abstract : In this research article, a two prey-one predator system with intra specific competition and self-interaction is investigated and its dynamics are mathematically analyzed.
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