The influence of immune cells on the existence of virus quasi-species
Copyright policy )The influence of immune cells on the existence of virus quasi-species
<abstract><p>This article investigate a nonlocal reaction-diffusion system of equations modeling virus distribution with respect to their genotypes in the interaction with the immune response. This study demonstrates the existence of pulse solutions corresponding to virus quasi-species. The proof is based on the Leray-Schauder method, which relies on the topological degree for elliptic operators in unbounded domains and a priori estimates of solutions. Furthermore, linear stability analysis of a spatially homogeneous stationary solution identifies the critical conditions for the emergence of spatial and spatiotemporal structures. Finally, numerical simulations are used to illustrate nonlinear dynamics and pattern formation in the nonlocal model.</p></abstract>
- Claude Bernard University Lyon 1 France
- University of Abou Bekr Belkaïd Algeria
- Jean Monnet University France
- Peoples' Friendship University of Russia Russian Federation
- UNIVERSITE JEAN MONNET SAINT-ETIENNE France
Epidemic Models, [SDV.IMM.II]Life Sciences [q-bio]/Immunology/Innate immunity, immune response, 510, Diffusion, [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases, Homogeneous, Stability (learning theory), reaction-diffusion model, Evolutionary Dynamics of Genetic Adaptation and Mutation, Physics, Life Sciences, FOS: Philosophy, ethics and religion, virus density distribution, Disease Transmission and Population Dynamics, Modeling and Simulation, [SDV.MP.VIR]Life Sciences [q-bio]/Microbiology and Parasitology/Virology, Physical Sciences, Pattern formation, Medicine, Thermodynamics, Dynamics (music), Biotechnology, Epistemology, Models, Biological, Mathematical analysis, Quantum mechanics, nonlocal interaction, genotype space, Biochemistry, Genetics and Molecular Biology, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, Genetics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Degree (music), Biology, Anomalous Diffusion Modeling and Analysis, Public Health, Environmental and Occupational Health, 500, Acoustics, A priori and a posteriori, Applied mathematics, Computer science, Quasispecies, Philosophy, Nonlinear Dynamics, Reaction–diffusion system, FOS: Biological sciences, Nonlinear system, Statistical physics, TP248.13-248.65, Mathematics
Epidemic Models, [SDV.IMM.II]Life Sciences [q-bio]/Immunology/Innate immunity, immune response, 510, Diffusion, [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases, Homogeneous, Stability (learning theory), reaction-diffusion model, Evolutionary Dynamics of Genetic Adaptation and Mutation, Physics, Life Sciences, FOS: Philosophy, ethics and religion, virus density distribution, Disease Transmission and Population Dynamics, Modeling and Simulation, [SDV.MP.VIR]Life Sciences [q-bio]/Microbiology and Parasitology/Virology, Physical Sciences, Pattern formation, Medicine, Thermodynamics, Dynamics (music), Biotechnology, Epistemology, Models, Biological, Mathematical analysis, Quantum mechanics, nonlocal interaction, genotype space, Biochemistry, Genetics and Molecular Biology, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, Genetics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Degree (music), Biology, Anomalous Diffusion Modeling and Analysis, Public Health, Environmental and Occupational Health, 500, Acoustics, A priori and a posteriori, Applied mathematics, Computer science, Quasispecies, Philosophy, Nonlinear Dynamics, Reaction–diffusion system, FOS: Biological sciences, Nonlinear system, Statistical physics, TP248.13-248.65, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!