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Article
A novel attempt to describe the impact of infectious disease on the nation’s economy: an illustration through the Econo-epidemics model
The impacts of pandemic situation on the health and economy of any nation are indeed significant. Several paradigms are present, where the nations’s economy has stumbled due to impact of infectious diseases. H...
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Article
Dynamics of Zooplankton-Mediated Disease Outbreak in Coral-reef
Coral diseases have been identified as one of the leading causes of the collapse of coral reefs worldwide. Coral reefs worldwide are facing severe stress due to the increase in disease outbreaks. Yet the mecha...
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Article
Model-Based Estimation of Expected Time to Cholera Extinction in Lusaka, Zambia
The develo** world has been facing a significant health issue due to cholera as an endemic communicable disease. Lusaka was Zambia’s worst affected province, with 5414 reported cases of cholera during the ou...
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Article
Instantaneous maturity rate: a novel and compact characterization of biological growth curve models
Modeling and analysis of biological growth curves are an age-old study area in which much effort has been dedicated to develo** new growth equations. Recent efforts focus on identifying the correct model fro...
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Article
Impact of Predator Signals on the Stability of a Predator–Prey System: A Z-Control Approach
In contrast to long standing view on predator–prey interactions that predators have only direct effect on prey by killing, recent field experimentation on terrestrial vertebrates showed that indirect effect of...
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Article
Non-smooth dynamics emerging from predator-driven discontinuous prey dispersal
In ecology, the refuge protection of the prey plays a significant role in the dynamics of the interactions between prey and predator. In this paper, we investigate the dynamics of a non-smooth prey–predator ma...
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Article
Chemical contamination-mediated regime shifts in planktonic systems
Abrupt transitions leading to algal blooms are quite well known in aquatic ecosystems and have important implications for the environment. These ecosystem shifts have been largely attributed to nutrient dynami...
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Article
Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis
Middle East Respiratory Syndrome Coronavirus (MERS-CoV) can cause mild to severe acute respiratory illness with a high mortality rate. As of January 2020, more than 2500 cases of MERS-CoV resulting in around 8...
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Article
A systematic study of autonomous and nonautonomous predator–prey models with combined effects of fear, migration and switching
In this paper, we study the dynamics of a predator–prey system under the combined effects of fear, migration and switching phenomena. This study is new in the sense that the dynamics of such system was studied...
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Article
A Novel Unification Method to Characterize a Broad Class of Growth Curve Models Using Relative Growth Rate
Growth curve models serve as the mathematical framework for the quantitative studies of growth in many areas of applied science. The evolution of novel growth curves can be categorized in two notable direction...
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Article
A Three Species Food Chain Model with Fear Induced Trophic Cascade
In ecology, predator–prey interaction is one of the most important factors. The effects of predators on prey population can be direct and deadly, or it may be indirect and non-consumptive. Recent experimental ...
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Article
Modeling the Spread of Zika Virus in a Stage-Structured Population: Effect of Sexual Transmission
The recent Zika virus outbreak has been spreading rapidly all over the world, expanding its traditionally geographical affected regions, making it a global public health hazard and endangering millions of peop...
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Article
A cannibalistic eco-epidemiological model with disease in predator population
In this present article, we propose and analyze a cannibalistic predator–prey model with disease in the predator population. We consider two important factors for the dynamics of predator population. The first...
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Article
Stability and bifurcation analysis of Japanese encephalitis model with/without effects of some control parameters
In this paper, a mathematical model on transmission of Japanese Encephalitis disease has been developed considering some control parameters and time-dependent environmental-carrying capacity. Here, the total v...
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Article
A strategy for a disease-free system- an eco-epidemiological model based study
The present paper deals with an eco-epidemiological model consisting of susceptible prey, infected prey and predator. We assume that the recruitment of prey follows the saturating functional form due to habita...
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Article
Effects of fertilizers used in agricultural fields on algal blooms
The increasing occurrence of algal blooms and their negative ecological impacts have led to intensified monitoring activities. This needs the proper identification of the most responsible factor/factors for t...
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Article
A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan
In this manuscript, we propose and analyze a compartmental model of visceral leishmaniasis (VL). We model the human population with six compartments including asymptomatic, symptomatic and PKDL-infected, anima...
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Article
A New and Elegant Approach for Solving \(\varvec{n \times n}\) -Order Linear Fractional Differential Equations
The application of fractional differential equations (FDEs) in the fields of science and engineering are gradually increasing day by day during the last two decades. The solutions of linear systems of FDEs are...
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Article
Optimal harvesting and complex dynamics in a delayed eco-epidemiological model with weak Allee effects
In this article, an eco-epidemiological system with weak Allee effect and harvesting in prey population is discussed by a system of delay differential equations. The delay parameter regarding the time lag corr...
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Article
Dynamics of cholera outbreak with bacteriophage and periodic rate of contact
In this paper, a cholera epidemic model with periodic transmission rate has been considered and discussed. It is shown that the disease free equilibrium point is globally asymptotically stable and also seen th...