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Applied Mathematics and Computation, ISSN 0096-3003, 04/2014, Volume 232, pp. 858 - 871
We consider a plant–pathogen interaction model and perform a bifurcation analysis at the threshold where the pathogen-free equilibrium loses its hyperbolicity.... 
Bifurcation | Plant–pathogen interaction | Mathematical model | Global stability | Plant-pathogen interaction | MATHEMATICS, APPLIED | BACKWARD BIFURCATION | TUBERCULOSIS | STAGE | VACCINATION | EPIDEMIC MODELS | GLOBAL-STABILITY | Plant pathogen interaction | INFECTION | POPULATION-DYNAMICS | THRESHOLD CRITERIA | Bifurcations | Mathematical models | Stability | Thresholds | Computation | Steady state
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 03/2017, Volume 40, Issue 5, pp. 1505 - 1515
We consider an epidemic model for the dynamics of an infectious disease that incorporates a nonlinear function h ( I ), which describes the recovery rate of... 
backward bifurcation | epidemic model | multiple endemic state | recovery function | MATHEMATICS, APPLIED | SATURATED TREATMENT FUNCTION | TRANSMISSION | VACCINATION MODEL | FATAL DISEASES | Epidemics | Allocations | Infectious diseases | Mathematical analysis | Bifurcations | Nonlinearity | Mathematical models | Recovery
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2016, Volume 40, Issue 2, pp. 1669 - 1675
This study addresses problems that have arisen in the literature when calculating backward bifurcations, especially in the context of epidemic modeling.... 
Backward bifurcation threshold Rc | Basic reproduction number | Epidemic models | Backward bifurcation | Backward bifurcation threshold R | Epidemics | Analysis | Models | Epidemiology
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 15
Journal Article
Bulletin of Mathematical Biology, ISSN 0092-8240, 6/2019, Volume 81, Issue 6, pp. 2029 - 2050
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 03/2019, Volume 89, pp. 85 - 90
A stage-structured epidemic model is proposed under the assumptions that the disease can only be transmitted among adults and that there is also intraspecific... 
Epidemic model | Equilibrium | Stage structure | Backward bifurcation | MATHEMATICS, APPLIED | STABILITY | VACCINATION | Computer science | Epidemics | Analysis
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 1/2006, Volume 67, Issue 1, pp. 24 - 45
Journal Article
Bulletin of Mathematical Biology, ISSN 0092-8240, 2018, pp. 1 - 23
We propose and analyze a mathematical model of a vector-borne disease that includes vector feeding preference for carrier hosts and intrinsic incubation in... 
Cutaneous leishmaniasis | Global sensitivity analysis | Vector-borne disease | Feeding preference | Backward bifurcation | Vector-borne diseases | Correlation coefficient | Sensitivity analysis | Incubation | Correlation coefficients | Bifurcations | Vectors | Leishmaniasis | Parameter sensitivity | Feeding | Correlation analysis | Mathematical models
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 348, Issue 1, pp. 433 - 443
An epidemic model with saturated incidence rate and saturated treatment function is studied. Here the treatment function adopts a continuous and differentiable... 
Saturated treatment function | Global behavior | SIR | Backward bifurcation | MATHEMATICS | MATHEMATICS, APPLIED | backward bifurcation | global behavior | GLOBAL DYNAMICS | BEHAVIOR | INFECTION | DELAY | saturated treatment function | Epidemics | Analysis | Models
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2019, Volume 527, p. 121407
In this paper, we present a study on a network-based SIS epidemic model with a saturated treatment function to characterize the saturation phenomenon of... 
Saturated treatment function | Stability | Epidemic model | Backward bifurcation | Complex network | PHYSICS, MULTIDISCIPLINARY | DYNAMICS
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 1/2018, Volume 91, Issue 1, pp. 387 - 402
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 10/2018, Volume 455, pp. 75 - 85
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 12/2015, Volume 26, pp. 289 - 305
In this paper, a homogeneous-mixing population fractional model for human immunodeficiency virus (HIV) transmission, which incorporates anti-HIV preventive... 
Basic reproduction number | Fractional order | Vaccines | Global stability | Backward bifurcation | MATHEMATICS, APPLIED | STABILITY | BEHAVIOR | EPIDEMIC MODEL | DYNAMICS | HIV (Viruses) | Analysis | Reproduction | HIV | Thresholds | Unity | Asymptotic properties | Bifurcations | Dosage
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 06/2019, Volume 123, pp. 400 - 412
A deterministic model for measles transmission, which is incorporating logistic growth rate and vaccination, is formulated and rigorously analyzed. The certain... 
Global stability | Measles | Logistic growth | Vaccination | Backward bifurcation | LYAPUNOV FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | SIR EPIDEMIC MODEL | PHYSICS, MATHEMATICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | MALARIA | SEIR
Journal Article
Nonlinear Analysis: Hybrid Systems, ISSN 1751-570X, 11/2014, Volume 14, pp. 99 - 113
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 03/2019, Volume 120, pp. 188 - 199
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 03/2018, Volume 41, Issue 5, pp. 1908 - 1924
Journal Article