Multi-stage vector-borne zoonoses models: A global analysis

Autor: Abderrahman Iggidr, Derdei Bichara, Laura Smith
Přispěvatelé: Department of Mathematics [Fullerton], California State University [Fullerton] (CSU), Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria), Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Inria + California State University at Fullerton
Jazyk: angličtina
Rok vydání: 2018
Předmět:
0106 biological sciences
0301 basic medicine
Class (set theory)
Stage progression
Endemic Diseases
General Mathematics
Immunology
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
Basic Reproduction Number
Mathematics Subject Classification: 92D30
34D23
34D20
34D40
34A34
Global stability
Disease Vectors
Biology
Models
Biological
01 natural sciences
Host Specificity
General Biochemistry
Genetics and Molecular Biology
Nonlinear dynamical systems
Combinatorics
03 medical and health sciences
[SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases
Zoonoses
Animals
Humans
Computer Simulation
One Health
General Environmental Science
Pharmacology
Host (biology)
General Neuroscience
Multi-host
Arthropod Vectors
Mathematical Concepts
Amplification effect
010601 ecology
Multi stage
030104 developmental biology
Nonlinear Dynamics
Computational Theory and Mathematics
Vector (epidemiology)
Host-Pathogen Interactions
Vector-borne zoonoses
[SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie
General Agricultural and Biological Sciences
Basic reproduction number
Arthropod Vector
Zdroj: Bulletin of Mathematical Biology
Bulletin of Mathematical Biology, Springer Verlag, 2018, 80 (7), pp.1810-1848. ⟨10.1007/s11538-018-0435-1⟩
Bulletin of Mathematical Biology, 2018, 80 (7), pp.1810-1848. ⟨10.1007/s11538-018-0435-1⟩
ISSN: 0092-8240
1522-9602
DOI: 10.1007/s11538-018-0435-1⟩
Popis: A class of models that describes the interactions between multiple host species and an arthropod vector is formulated and its dynamics investigated. A host-vector disease model where the host's infection is structured into n stages is formulated and a complete global dynamics analysis is provided. The basic reproduction number acts as a sharp threshold, that is, the disease-free equilibrium is globally asymptotically stable (GAS) whenever [Formula: see text] and that a unique interior endemic equilibrium exists and is GAS if [Formula: see text]. We proceed to extend this model with m host species, capturing a class of zoonoses where the cross-species bridge is an arthropod vector. The basic reproduction number of the multi-host-vector, [Formula: see text], is derived and shown to be the sum of basic reproduction numbers of the model when each host is isolated with an arthropod vector. It is shown that the disease will persist in all hosts as long as it persists in one host. Moreover, the overall basic reproduction number increases with respect to the host and that bringing the basic reproduction number of each isolated host below unity in each host is not sufficient to eradicate the disease in all hosts. This is a type of "amplification effect," that is, for the considered vector-borne zoonoses, the increase in host diversity increases the basic reproduction number and therefore the disease burden.
Databáze: OpenAIRE
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