Principle of Limiting Factors-Driven Piecewise Population Growth Model I: Qualitative Exploration and Study Cases on Continuous-Time Dynamics

Figure 2

Examples of the construction of the PLF-PM composite trajectory for for and ; referred configuration entitles the condition. (a) The statement holds, is a stable equilibrium in the region . (b) Under the statement, places in region and becomes a stable equilibrium solution. (c) Whenever , the equilibrium places in ; since , increases, reaching the boundary at time , and switches to rule but since , increases asymptotically towards staying within region (d) In turn, if , then stands for a stable equilibrium solution in the region .

(a)

(b)

(c)

(d)