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We modified the Lotka-Volterra Equations with the assumption that two of theoriginal four constant parameters in the traditional equations aretime-dependent. In the first place, we assumed that the human population(borrowed from the T-Function) plays the role as the prey while all lethalfactors that jeopardize the existence of the human race as the predator.Although we could still calculate the time-dependent lethal function, the ideaof treating the lethal factors as the prey was too general to recognize themeaning of them. Hence, in the second part of the modified Lotka-VolterraEquations, we exchanged the roles between the prey and the predator. This time,we treated the prey as the natural resources while the predator as the humanpopulation (still borrowed from the T-Function). After carefully choosingappropriate parameters to match the maximum carrying capacity with thesaturated number of the human population predicted by the T-Function, wesuccessfully calculated the natural resources as a function of time. Contraryto our intuition, the carrying capacity is constant over time rather than atime-varying function, with the constant value of 10.2 billion people.

Predicting Earth's Carrying Capacity of Human Population as the Predator  and the Natural Resources as the Prey in the Modified Lotka-Volterra  Equations with Time-dependent Parameters