Structured populations, linear semigroups and positivity
From MaRDI portal
Publication:1078114
DOI10.1007/BF01162350zbMath0595.92009OpenAlexW2112684763MaRDI QIDQ1078114
Publication date: 1986
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173704
positive semigroupsHolling's hungry mantid modelrandom catastrophesasymptotic behavior of structured population dynamicscausing reproductiondecrease in weightgeneral renewal resultsize-dependent cell growth
Related Items
Monotone semiflows generated by functional differential equations ⋮ Waning and boosting: on the dynamics of immune status ⋮ Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate ⋮ On the semigroups of age-size dependent population dynamics with spatial diffusion ⋮ A semigroup approach to the strong ergodic theorem of the multistate stable population process ⋮ A semigroup approach to age-dependent population dynamics with time delay ⋮ Some applications of the regularity and irreducibility on transport theory ⋮ On a size-structured two-phase population model with infinite states-at-birth ⋮ A mathematical study for a Rotenberg model ⋮ On models of physiologically structured populations and their reduction to ordinary differential equations ⋮ Quasi-compactness of dominated positive operators and \(C_0\)-semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ An Operator-Theoretic Formulation of Asynchronous Exponential Growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the spectral theory of elliptic differential operators. I
- On the stability of the cell size distribution
- Positive operators and elliptic eigenvalue problems
- Semigroups of linear operators and applications to partial differential equations
- A stationary distribution for the growth of a population subject to random catastrophes
- Spectral properties and asymptotic behavior of the linear transport equation
- On the stable size distribution of populations reproducing by fission into two unequal parts
- Positivity in time dependent linear transport theory
- An eigenvalue problem related to cell growth
- Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. III. Stable satiation distribution
- Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen
- Equilibrium solutions of age-specific population dynamics of several species
- Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits
- On the stability of the cell-size distribution II: Time-periodic developmental rates
- The radius of the essential spectrum
