Results 31 to 40 of about 262 (108)

Cost-effective optimal control analysis of a COVID-19 transmission model incorporating community awareness and waning immunity

open access: yesComputational and Mathematical Biophysics, 2023
This article presents a cost-effective optimal control analysis of interventions applied to a S2EI2RS type deterministic compartmental model of COVID-19, considering community awareness and immunity loss. We introduce two time-dependent controls, namely,
Lamba Sonu, Srivastava Prashant K.
doaj   +1 more source

Effect of randomly fluctuating environment on autotroph‐herbivore model system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004
First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
wiley   +1 more source

Subthreshold domain of bistable equilibria for a model of HIV epidemiology

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 58, Page 3679-3698, 2003., 2003
A homogeneous‐mixing population model for HIV transmission, which incorporates an anti‐HIV preventive vaccine, is studied qualitatively. The local and global stability analysis of the associated equilibria of the model reveals that the model can have multiple stable equilibria simultaneously.
B. D. Corbett   +2 more
wiley   +1 more source

Homoclinic and heteroclinic solutions to a hepatitis C evolution model

open access: yesOpen Mathematics, 2018
Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas   +4 more
doaj   +1 more source

Prey-predator model in drainage system with migration and harvesting

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we consider a prey-predator model with a reserve region of predator where generalist predator cannot enter. Based on the intake capacity of food and other factors, we introduce the predator population which consumes the prey population ...
Roy Banani, Roy Sankar Kumar
doaj   +1 more source

The generalized Turner‐Bradley‐Kirk‐Pruitt equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 73-80, 2002., 2002
Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner‐Bradley‐Kirk‐Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value set of the equation, that is, the set of values taken on
Ray Redheffer
wiley   +1 more source

An epidemic model with density dependent parameters and vaccination

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 805-814, 1996., 1994
A model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size. The purpose of this study is to see the effect of this density dependent transmission coefficient on the stability criteria for the ...
Q. J. A. Khan, B. S. Bhatt
wiley   +1 more source

Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka   +2 more
doaj   +1 more source

An eco-epidemiological model with predator switching behavior

open access: yesComputational and Mathematical Biophysics, 2023
Switching mechanism is adopted by predator populations when they are provided with two types of prey: susceptible and infected. In this study, we propose a modification of an eco-epidemiological model with the predator switching mechanism.
Tripathi Deepak, Singh Anuraj
doaj   +1 more source

An Optimal Control Study for a Two‐Strain SEIR Epidemic Model With Saturated Incidence Rates and Treatment

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This work will study an optimal control problem describing the two‐strain SEIR epidemic model. The model studied is in the form of six nonlinear differential equations illustrating the dynamics of the susceptible and the exposed, the infected, and the recovered individuals.
Karam Allali   +3 more
wiley   +1 more source

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