Controlled Growth of Competing Species

DOI10.1137/0150049zbMath0696.92020OpenAlexW2009298690MaRDI QIDQ3474515

Nagaraj S. Rao, Emilio Roxin

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150049

zbMATH Keywords

chemostatcoexistenceselective extinctionmicroorganismsgrowth-limiting nutrientexistence of admissible controlsnutrient inputwashout rates

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Dynamics of a chemostat with periodic nutrient supply and delay in the growth ⋮ The analysis and regulation for the dynamics of a temperate bacteriophage model ⋮ Persistence criteria for a chemostat with variable nutrient input ⋮ CROWDING AND LIGHT LIMITATION AFFECT PHYTOPLANKTON COMPETITION FOR NITROGEN ⋮ Competition between phytoplankton and bacteria: exclusion and coexistence ⋮ Some new observations on the classical logistic equation with heredity ⋮ Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat

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