The following system of ordinary differential equations represents the famous Volterra prey–predator model. What happens to the population of prey when the population of predators decreases The Lotka-Volterra model consists of a system of linked differential. Based on linear per capita growth rates, the Volterra system is the simplest model of predator–prey interactions. Volterra established a model in 1931 to represent the connection between predators and their preys in an ecological system by developing a system of two autonomous ordinary differential equations. In our knowledge, the first mathematical model of predator prey interaction is given by A. Due to its universal existence and importance, a large number of investigations have already examined the predator–prey models (see, for examples). A System Dynamics model can be expressed using differential equation notation and vice versa. From this perspective, System Dynamics models and differential equation modeling are one and the same. When populations have non-overlapping generations, the discrete-time models are more reasonable than the continuous-time models. Similarly, a System Dynamics model can be rewritten as a differential equation model. The differential and difference equations are used to explain the majority of dynamic population models. ![]() ![]() Many ecologists, mathematicians, and biologists have studied this during the last few decades. The predator–prey interaction among the population is well known to be one of the most difficult inquiry areas for the biology and ecology population.
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