Results 51 to 60 of about 706 (132)

A note on stability of the vertical uniform rotations of the heavy top

open access: yes, 2012
We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
core   +1 more source

Boundedness and asymptotic stability in the large of solutions of an ordinary differential system y′ = f(t, y, y′)

open access: yesInternational Journal of Stochastic Analysis, Volume 5, Issue 3, Page 261-274, 1992., 1991
Differential equations of the form y′ = f(t, y, y′), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut′s and Chrystal′s equations fall into this category.
M. Venkatesulu, P. D. N. Srinivasu
wiley   +1 more source

Modeling of the switching effect on two prey and one predator with the presence of Allee effects and refuge

open access: yesComputational and Mathematical Biophysics
To examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad   +3 more
doaj   +1 more source

Effect of population migration and punctuated lockdown on the spread of infectious diseases

open access: yesNonautonomous Dynamical Systems, 2021
One of the critical measures to control infectious diseases is a lockdown. Once past the lockdown stage in many parts of the world, the crucial question now concerns the effects of relaxing the lockdown and finding the best ways to implement further ...
Kiran Ravi   +3 more
doaj   +1 more source

Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model

open access: yesResults in Physics, 2022
The victim-predator model has been investigated in several papers in the literature since it is considered one of the very important models. The relation between predator and victim is an important aspect of ecology. The principal object of this research
M. Higazy   +4 more
doaj   +1 more source

Lyapunov stability theory for dynamic systems on time scales

open access: yesInternational Journal of Stochastic Analysis, Volume 5, Issue 3, Page 275-281, 1992., 1992
By use of the necessary calculus and the fundamental existence theory for dynamic systems on time scales, in this paper, we develop Lyapunov′s second method in the framework of general comparison principle so that one can cover and include several stability results for both types of equations at the same time.
Billur Kaymakçalan
wiley   +1 more source

A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions.
Traoré Bakary   +3 more
doaj   +1 more source

Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

open access: yes, 2017
We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the model with respect to the Zika outbreak occurred in Brazil.Comment: This is a ...
Area, Ivan   +4 more
core   +1 more source

Complex dynamics of a four-species food-web model: An analysis through Beddington-DeAngelis functional response in the presence of additional food

open access: yesComputational and Mathematical Biophysics, 2023
The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional ...
Rani Surbhi   +2 more
doaj   +1 more source

Effect of saturated treatment on malaria spread with optimal intervention

open access: yesAlexandria Engineering Journal, 2023
This work presents a new deterministic model which considers transmission mode through blood transfusion and saturated treatment function with a view to gaining more insights into the dynamical spread of malaria.
S. Olaniyi   +5 more
doaj   +1 more source

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