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- W4311484979 abstract "Abstract Note: Please see pdf for full abstract with equations. We propose a general framework for simultaneously calculating the threshold value for population growth and determining the sign of the growth bound of the evolution family generated by the problem below dv(t)/dt = Av(t) + F(t)v(t) − V(t)v(t), where A : D(A) ⊂ X → X is a Hille-Yosida linear operator (possibly unbounded, non-densely defined) on a Banach space (X, ∥ · ∥) , and the maps t ∈ R 7→ V(t) ∈ L(X 0 ,X), t ∈ R 7→ F(t) ∈ L(X 0 ,X) are p -periodic in time and continuous in the operator norm topology. We give applications of our approach for two general examples of an age-structured model, and a delay differential system. Other examples concern the dynamics of a nonlocal problem arising in population genetics and the dynamics of a structured human-vector malaria model. Mathematics Subject Classification 34K20; 37B55; 47D62; 47N60; 92D25" @default.
- W4311484979 created "2022-12-26" @default.
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- W4311484979 date "2022-12-14" @default.
- W4311484979 modified "2023-10-14" @default.
- W4311484979 title "Growth bound and threshold dynamic for nonautonomous nondensely defined evolution problems" @default.
- W4311484979 doi "https://doi.org/10.21203/rs.3.rs-2375204/v1" @default.
- W4311484979 hasPublicationYear "2022" @default.
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