Asymptotic stability for an integrodifferential reaction-diffusion system
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Publication:1077667
DOI10.1016/0022-247X(84)90147-1zbMath0595.45020OpenAlexW2088616547MaRDI QIDQ1077667
Publication date: 1984
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(84)90147-1
reaction-diffusionmonotone iterationparabolicdynamics of an epidemicnontrivial equilibrium solutions
Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparison and existence theorems for multicomponent diffusion systems
- Asymptotic stability and critical points for nonlinear quasimonotone parabolic systems
- Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
- On nonlinear reaction-diffusion systems
- Qualitative theory of the Fitz Hugh-Nagumo equations
- A remark on the preceding paper of Amann
- Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
- On the Asymptotic Behavior of Solutions of Semilinear Parabolic Equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On the spectrum of general second order operators
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