Dynamics of the epidemiological predator-prey system in advective environments

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Singular perturbations of ordinary differential equations (34D15) Traveling wave solutions (35C07)

Cites Work

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Traveling wave solutions for some classes of diffusive predator-prey models
Multiple time scale dynamics
Evolution of dispersal in open advective environments
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
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Existence of traveling wave solutions for diffusive predator-prey type systems
Traveling wave solutions for a class of predator-prey systems
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Geometric singular perturbation theory for ordinary differential equations
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How flow speed alters competitive outcome in advective environments
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Disease transmission dynamics of an epidemiological predator-prey system in open advective environments
Hopf bifurcation in a Lotka-Volterra competition-diffusion-advection model with time delay
Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion
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On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
Population dynamics in river networks
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Traveling waves in a diffusive predator-prey model with Holling type-III functional response
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Population dynamics with resource-dependent dispersal: single- and two-species models
Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
Existence and instability of traveling pulses of Keller–Segel system with nonlinear chemical gradients and small diffusions
TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model
A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River
A Hybrid Continuous/Discrete-Time Model for Invasion Dynamics of Zebra Mussels in Rivers
Traveling pulses of coupled Fitzhugh-Nagumo equations with doubly-diffusive effect

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