Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies

High codimension bifurcations analysis in a predator-prey system with Michaelis-Menten type predator harvesting

“…To solve this problem, harvesting terms were added to the predator-prey model. Depending on the type of harvesting [19,20,42], there are three types of harvesting: constant-yield harvesting [28,30,39], constant-effort harvesting [1,6], and nonlinear type harvesting [2,10,11,13,37,45], such as Michaelis-Menten type harvesting [16]. Nonlinear type harvesting has a functional relationship of Holling II type with the current number of harvested biological populations and human effort, which has a certain saturation effect on the current number of biological populations and human effort.…”