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Simple food chain in a chemostat with distinct removal rates. (English) Zbl 0943.92034
We consider a model describing predator-prey interactions in a chemostat that incorporates both general response functions and distinct removal rates. In this case, the conservation law fails. To overcome this difficulty, we make use of a novel way of constructing a Lyapunov function in the study of the global stability of a predator-free steady state. Local and global stability of other steady states, persistence analysis, as well as numerical simulations are also presented. Our findings are largely in line with those of an identical removal rate case.

92D40 Ecology
34D20 Stability of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
Full Text: DOI
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