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Almost periodic solutions for seasonal cooperative systems. (English) Zbl 1498.34123

The paper establishes some results on the existence and stability of almost periodic solutions for a cooperative almost periodic system. Then they apply these results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis-Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.

MSC:

34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
37C60 Nonautonomous smooth dynamical systems
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
34D20 Stability of solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
92D25 Population dynamics (general)
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References:

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[2] C. Corduneanu, Almost Periodic Functions, 2nd. ed., Chelsea, New York, 1989. · Zbl 0672.42008
[3] H. G. Díaz-Marín, B. Lara-Aguilar, and O. Osuna, Periodic solutions of catalysed models with generalized mass-action law, Biomatemática 29 (2019), 59-68.
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[10] Homero G. Díaz-Marín Facultad de Ciencias Físico Matemáticas Universidad Michoacana Edif. Alfa, Ciudad Universitaria C.P. 58040, Morelia, Michoacán, Mexico E-mail: hdiaz@umich.mx
[11] Francisco J. López-Hernández Facultad de Ciencias Físico Matemáticas Universidad Autónoma de Nuevo León Nuevo León, Mexico E-mail: jose.lopezh@uanl.edu.mx
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