Role of Differential Susceptibility and Infectiousness on the Dynamics of an SIRS Model for Malaria Transmission

Autor: Muntaser Safan, Derdei Bichara, Kamuela E. Yong, Amira Alharthi, Carlos Castillo-Chavez

Publikováno v: Symmetry, Vol 15, Iss 10, p 1950 (2023)

A deterministic model for the transmission dynamics of SIRS-type malaria in hosts and SI in mosquito populations is proposed. The host population is differentiated between naive, primary, and secondary susceptible individuals. Primary and secondary i

Externí odkaz: https://doaj.org/article/750e304cd40e4b9cb5ef45b98d548d33

On the dynamics of dengue virus type 2 with residence times and vertical transmission

Autor: Derdei Bichara, Susan A. Holechek, Jorge Velázquez-Castro, Anarina L. Murillo, Carlos Castillo-Chavez

Publikováno v: Letters in Biomathematics, Vol 3, Iss 1, Pp 140-160 (2016)

A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors’ vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic r

Externí odkaz: https://doaj.org/article/f3d304a05c704fd5b9b932de298b2590

Effects of migration on vector-borne diseases with forward and backward stage progression

Autor: Derdei Bichara

Publikováno v: Discrete & Continuous Dynamical Systems - B. 24:6297-6323

Is it possible to break the host-vector chain of transmission when there is an influx of infectious hosts into a na\"{i}ve population and competent vector? To address this question, a class of vector-borne disease models with an arbitrary number of i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9cb50120164a47d6bd9004dae98a4a7
https://doi.org/10.3934/dcdsb.2019140

Role of short-term dispersal on the dynamics of Zika virus in an extreme idealized environment

Autor: Baltazar Espinoza, Derdei Bichara, Carlos Castillo-Chavez, Victor Moreno, Susan A. Holechek

Publikováno v: Infectious Disease Modelling, Vol 2, Iss 1, Pp 21-34 (2017)

In November 2015, El Salvador reported their first case of Zika virus (ZIKV) infection, an event followed by an explosive outbreak that generated over 6000 suspected cases in a period of two months. National agencies began implementing control measur

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a7421a9d0cbdc00dbd4a78f222a23db
http://www.sciencedirect.com/science/article/pii/S2468042716300410

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

Autor: Abderrahman Iggidr, Derdei Bichara, Laura Smith

Publikováno v: 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⟩

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::328f349ae2c8239bbb355fcf86240ac7
https://hal.inria.fr/hal-01584474/file/SP_VectorBorneZoonose-Hal.pdf