Dynamical phase diagrams of a love capacity constrained prey–predator model

Abstract

Abstract. One interesting question in love relationships is: finally, what and when is the end of this love relationship? Using a prey-predator Verhulst-Lotka-Volterra (VLV) model we imply cooperation and competition tendency between people in order to describe a "love dilemma game". We select the most simple but immediately most complex case for studying the set of nonlinear differential equations, i.e. that implying three persons, being at the same time prey and predator. We describe four different scenarios in such a love game containing either a one-way love or a love triangle. Our results show that it is hard to love more than one person simultaneously. Moreover, to love several people simultaneously is an unstable state. We find some condition in which persons tend to have a friendly relationship and love someone in spite of their antagonistic interaction. We demonstrate the dynamics by displaying flow diagrams.

The concept of force in population dynamics

“…However, predation plays no role in achieving predator equilibrium as it has a positive impact in the final phase to match the negative impact of predation on the prey (figure 14a). Instead, it is a combination of dissipation and saturation that brings the predator to equilibrium, similar to results in models of competition and cooperation [57].…”

Model Of Development And Preservation Of Life Force

“…To the question of Genghis Khan about the means for eternal life, Chan-Сhun answered, as a philosopher, that there is a means for keeping life, but there is no cure for immortality (Grasse, 2002;Simin et al, 2017).…”

Cooperate or Not Cooperate in Predictable but Periodically Varying Situations? Cooperation in Fast Oscillating Environment

“…[32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] A changing environment can induce polymorphic states that do not exist in a fixed environment. [34,37,39,41,[52][53][54][55][56][57][58] Here, we are going to discuss the selection process in well-mixed populations under a periodically varying environment. Periodic variations in the environment can be associated with annual seasonal variations for animals and/or the nutrient supply for cells.…”