Basic Reproduction Ratios for Time-Periodic Homogeneous Evolution Systems

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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Dynamics of a model of microbial competition with internal nutrient storage in a flowing habitat
On a new perspective of the basic reproduction number in heterogeneous environments
On the biological interpretation of a definition for the parameter \(R _{0}\) in periodic population models
Basic reproduction ratios for periodic compartmental models with time delay
Eigenvectors of homogeneous order-bounded order-preserving maps
Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
Genealogy with seasonality, the basic reproduction number, and the influenza pandemic
Models for pair formation in bisexual populations
On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
Threshold dynamics for compartmental epidemic models in periodic environments
On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
The growth of pure and simple microbial competitors in a moving distributed medium
Dynamics of a periodically pulsed bio-reactor model
Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat
Role of phytoplankton cell size on the competition for nutrients and light in incompletely mixed systems
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
Threshold dynamics of a nonlocal and time-delayed West Nile virus model with seasonality
A periodic-parabolic droop model for two species competition in an unstirred chemostat
Basic reproduction ratios for almost periodic compartmental models with time delay
Mathematical modeling of biological processes
Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem
Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics
Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
Remarks on basic reproduction ratios for periodic abstract functional differential equations
Basic reproduction ratios for almost periodic compartmental epidemic models
Some spectral properties of positive linear operators
From homogeneous eigenvalue problems to two-sex population dynamics
Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions
The epidemic threshold of vector-borne diseases with seasonality
Global stability in a chemostat with multiple nutrients
Competition for one nutrient with internal storage and toxin mortality
Continuity of the cone spectral radius
Abstract Functional Differential Equations and Reaction-Diffusion Systems
Further Notes on the Basic Reproduction Number
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems
Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
Dynamical systems in population biology

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