Results 31 to 40 of about 244 (106)

Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge

open access: yesOpen Mathematics, 2019
In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang   +3 more
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

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

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

Nabla inequalities and permanence for a logistic integrodifferential equation on time scales

open access: yesOpen Mathematics, 2017
In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on
Hu Meng, Wang Lili
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

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

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

Global periodic solutions in a plankton-fish interaction model with toxication delay

open access: yesNonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

Approximation operators based on preconcepts

open access: yesOpen Mathematics, 2020
Using the notion of preconcept, we generalize Pawlak’s approximation operators from a one-dimensional space to a two-dimensional space in a formal context.
Wang Gang, Mao Hua
doaj   +1 more source

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