Global Dynamics of a Vector-Borne Disease Model with Two Transmission Routes
DOI10.1142/S0218127420500832zbMath1446.34066MaRDI QIDQ5114599
Sk Shahid Nadim, Indrajit Ghosh, Joydev Chattopadhyay
Publication date: 24 June 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Hysteresis for ordinary differential equations (34C55)
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Cites Work
- Unnamed Item
- Backward bifurcations, turning points and rich dynamics in simple disease models
- Global stability for an HIV-1 infection model including an eclipse stage of infected cells
- Multiple transmission pathways and disease dynamics in a waterborne pathogen model
- Global stability of an SEIR epidemic model with constant immigration
- A model for the transmission of malaria
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Permanence and the dynamics of biological systems
- Logarithmic norms and projections applied to linear differential systems
- A generalization of the Kermack-McKendrick deterministic epidemic model
- A model for dengue disease with variable human population
- On Bendixson's criterion
- Uniform persistence and flows near a closed positively invariant set
- Dynamical models of tuberculosis and their applications
- Dynamics of mosaic disease with roguing and delay in Jatropha curcas plantations
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- On R. A. Smith's autonomous convergence theorem
- Dynamical behavior of an epidemic model for a vector-borne disease with direct transmission
- Simulating the SARS outbreak in Beijing with limited data
- A mathematical study to control visceral leishmaniasis: an application to South Sudan
- Global analysis of an epidemic model with nonmonotone incidence rate
- An epidemic model of a vector-borne disease with direct transmission and time delay
- An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine
- A two-strain epidemic model with mutant strain and vaccination
- Modelling the dynamics of dengue real epidemics
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- A Geometric Approach to Global-Stability Problems
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