Memory and mutualism in species sustainability: A time-fractional Lotka-Volterra model with harvesting

Memory and mutualism in species sustainability: A time-fractional Lotka-Volterra model with harvesting

Blog Article

We first present a predator-prey model for two species and then extend the model to three species where the Wall Clock two predator species engage in mutualistic predation.Constant effort harvesting and the impact of by-catch issue are also incorporated.Necessary sufficient conditions for the existence and stability of positive equilibrium points are examined.It is shown that harvesting is sustainable, and the memory concept of the fractional derivative damps out oscillations in the population numbers so that the system as a whole settles on an equilibrium ORG PSYLLIUM HUSK POWDER quicker than it would with integer time derivatives.

Finally, some possible physical explanations are given for the obtained results.It is shown that the stability requires the memory concept in the model.