On the global asymptotic stability of a predator–prey model with Crowley–Martin function and stage structure for prey

A stage-structured predator-prey model with Crowley-Martin functional response

“…To some extent, the CM model is similar to the BD model, yet there is one distinction between two models: the BD model assumes that handling and interfering are exclusive activities while the CM model removed this assumption [25], therefore, it is worthy for us to explore the new dynamics of the CM model comparing with BD model. There have been many studies for CM models (see [16,3,20,27,9,23,21]) and a lot of fruitful results have been constructed. On the other hand, some recent works have contributed to the stage-structured CM models: Hoang [9] and Meng et al [21] considered the CM models with non-delayed stage structure on prey, where the immature prey was assumed capable to breed; Shi et al [24] analyzed the CM models with non-delayed stage structure on predator.…”

“…There have been many studies for CM models (see [16,3,20,27,9,23,21]) and a lot of fruitful results have been constructed. On the other hand, some recent works have contributed to the stage-structured CM models: Hoang [9] and Meng et al [21] considered the CM models with non-delayed stage structure on prey, where the immature prey was assumed capable to breed; Shi et al [24] analyzed the CM models with non-delayed stage structure on predator. Although much progress has been devoted in the above work on CM models with stage structured predator, such models have not been well investigated in that sharp threshold dynamics criteria are not established in the known works, nor for the global stability of the co-existence equilibrium.…”