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A fractional SEIRS model with disease resistance and nonlinear generalized incidence rate in Caputo–Fabrizio sense
ln this paper, we extend the classical SEIRS model within the framework of the fractional model in the sense of Caputo–Fabrizio derivative modified...
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Ergodicity and stationary distribution of a stochastic SIRI epidemic model with logistic birth and saturated incidence rate
The present study aims to investigate the dynamic behavior of a stochastic SIRI model with logistic birth and saturated incidence rate. First, we...
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Fractional order SIR epidemic model with Beddington–De Angelis incidence and Holling type II treatment rate for COVID-19
In this paper, an attempt has been made to study and investigate a non-linear, non-integer SIR epidemic model for COVID-19 by incorporating...
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Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator
In this manuscript, we have analyzed a new time non-integer order smoking model endowed with Caputo fractional type derivative operator. The model is...
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Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect
In this paper, we examine a stochastic avian influenza model with a nonlinear incidence rate within avian populations and the psychological effect...
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Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence
A vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which...
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Approximate Analytical Solution of the Generalized Kolmogorov-Petrovsky-Piskunov Equation with Cubic Nonlinearity
In this paper, the approximate analytical oscillatory solutions to the generalized Kolmogorov-Petrovsky-Piskunov equation (gKPPE for short) are...
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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus...
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Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate
We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a unique positive solution to the model is proved. Stability...
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Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate
In this article, we study the dynamics of a new proposed age-structured population mathematical model driven by a seasonal forcing function that...
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Stability Analysis for an SEIQR Epidemic Model with Saturated Incidence Rate
Mathematics plays an important role in study of biological systems through mathematical models. In the present paper, we extended the work of Nirwani...
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A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a...
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A New Classifier for Imbalanced Data Based on a Generalized Density Ratio Model
Achieving higher true positive rate when decreasing false positive rate is always a great challenge to the imbalance learning community. This work...
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Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases
This paper explores the effect of immigration in a generalized model that considers susceptibles, infected, chronic carriers, and recovered, the...
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Information geometry of dynamics on graphs and hypergraphs
We introduce a new information-geometric structure associated with the dynamics on discrete objects such as graphs and hypergraphs. The presented...
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On hierarchical competition through reduction of individual growth
We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the...
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Fractional HIV infection model described by the Caputo derivative with real data
The goal of this research is to explore the HIV infection model through Caputo derivative in considerable detail. We employ a non-local fractional...
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Spatio-Temporal Modelling of Dengue Fever Patterns in Peninsular Malaysia from 2015–2017
Spatio-temporal disease map** models can be used to describe the geographical pattern of disease incidence across space and time. This paper...
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Generalized Linear Models to Investigate Cyclic Trends
The aim of this study was to illustrate the usage of generalized linear models in analyzing seasonal variation without and with confounder variable....
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On a Fractal–Fractional-Based Modeling for Influenza and Its Analytical Results
There have been reports of influenza virus resistance in the past, and because this virus has the potential of resistance to cause several pandemics...
