Optimal harvesting and stability for a two-species competitive system with stage structure

Modeling and analysis in a prey–predator system with commercial harvesting and double time delays

“…By using Theorem 3-1.2 in [12], a feedback controller u(t ) = l(z(t ) − z * ) (l is a feedback gain and z * is a component of P * ) can be applied to stabilize system (24) around P * . Apply the controller u(t ) = l(z(t ) − z * ) into system (24), and then a controlled system is as follows: …”

“…In the case of v > 0, by applying controllerũ(t ) =l(z(t ) −z * ) into system (24), and then a controlled system is as fol-…”

“…Parameters values of system (24) are partially taken from [47], α = 0.7, β = 0.9, r = 0.6, a = 0.01, b = 0.001, c = 1 with appropriate unit.…”

Incorporating prey refuge into a predator–prey system with imprecise parameter estimates

“…A lot of good work on this topic is emerged in recent years (see [13,14,15,16,17,18,19] in detail). Song and Chen [15] researched a competitive population model of two species with harvesting. The study of one prey one predator harvesting model with imprecise biological parameters was presented by Pal et al in [17].…”

A Stage-Structured Prey-Predator Fishery Model In The Presence Of Toxicity With Taxation As A Control Parameter of Harvesting Effort

“…In the real world, almost all animals have the stage-structure of immature and mature. However, no attempt has been made to study the optimal taxation policy of a stage-structured three species fishery in the presence of toxicity in which they interact in a prey-predator manner and all species being subjected to harvesting [20]- [21].…”