Search Results - "Ackleh, Azmy S."
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Sensitivity equations for measure-valued solutions to transport equations
Published in Mathematical biosciences and engineering : MBE (01-01-2020)“…We consider the following transport equation in the space of bounded, nonnegative Radon measures $\mathcal{M}^+(\mathbb{R}^d)$:$$ ∂_t\mu_t + ∂_x(v(x) \mu_t) =…”
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Finite difference schemes for a structured population model in the space of measures
Published in Mathematical biosciences and engineering : MBE (01-01-2020)“…We present two finite-difference methods for approximating solutions to a structured population model in the space of non-negative Radon Measures. The first…”
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The interplay between multiple control mechanisms in a host–parasitoid system: a discrete-time stage-structured modelling approach
Published in Journal of biological dynamics (31-12-2023)“…We propose a discrete-time host–parasitoid model with stage structure in both species. For this model, we establish conditions for the existence and global…”
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High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures
Published in Mathematical biosciences and engineering : MBE (01-01-2023)“…In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model…”
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Assessing critical population thresholds under periodic disturbances
Published in Ecosphere (Washington, D.C) (01-09-2023)“…Population responses to repeated environmental or anthropogenic disturbances depend on complicated interactions between the disturbance regime, population…”
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A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid
Published in Journal of biological dynamics (01-01-2021)“…Alzheimer's disease is a degenerative disorder characterized by the loss of synapses and neurons from the brain, as well as the accumulation of amyloid-based…”
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Special issue: Mathematical Modeling with Measures
Published in Mathematical biosciences and engineering : MBE (25-02-2020)“…The special issue is available from: http://www.aimspress.com/newsinfo/1132.html…”
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Competitive exclusion and coexistence in a two-strain pathogen model with diffusion
Published in Mathematical biosciences and engineering : MBE (01-02-2016)“…We consider a two-strain pathogen model described by a system of reaction-diffusion equations. We define a basic reproduction number R0 and show that when the…”
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Modeling the invasion and establishment of a tick-borne pathogen
Published in Ecological modelling (01-05-2022)“…We develop a discrete-time tick–host–pathogen model to describe the spread of a disease in a hard-bodied tick species. This model incorporates the…”
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Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures
Published in IMA journal of numerical analysis (04-11-2023)“…Abstract We study a size-structured coagulation-fragmentation model formulated in the space of Radon measures. We reformulate this model as a mass conservation…”
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Sublethal Effects in Pest Management: A Surrogate Species Perspective on Fruit Fly Control
Published in Insects (Basel, Switzerland) (29-07-2017)“…Tephritid fruit flies are economically important orchard pests globally. While much effort has focused on controlling individual species with a combination of…”
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Examining the influence of prey dynamics on predator-prey interactions
Published in Journal of difference equations and applications (02-08-2024)“…We develop variations of a discrete-time predator-prey model to examine how intrinsic properties of the prey population may impact overall system dynamics. We…”
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A nullcline approach to global stability in discrete-time predator-prey models
Published in Journal of difference equations and applications (03-08-2021)“…In this paper, we consider a two-dimensional discrete-time predator-prey model that was recently developed in Ackleh et al. [Persistence and stability analysis…”
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Examining the effect of reoccurring disturbances on population persistence with application to marine mammals
Published in Journal of theoretical biology (14-10-2018)“…•Developed a two-state Markov chain model to describe reoccurring disturbances.•Derived an approximation for the stochastic growth rate.•The growth rate is…”
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Preface to '' Modeling with measures '
Published in Mathematical biosciences and engineering : MBE (01-04-2015)“…Different communities met in the research workshop ``Modeling with Measures" that took place at the Lorentz Center (Leiden, The Netherlands) during 26th--30th…”
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Measuring and modeling the seasonal changes of an urban Green Treefrog ( Hyla cinerea) population
Published in Ecological modelling (01-01-2010)“…Green Treefrogs ( Hyla cinerea) were captured, marked, measured and released at an urban study site in Lafayette, LA, during the 2004 and 2005 breeding…”
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Persistence and stability analysis of discrete-time predator-prey models: a study of population and evolutionary dynamics
Published in Journal of difference equations and applications (02-11-2019)“…Prolonged exposure to disturbances, such as toxicants, has the potential to result in evolutionary responses in a population. These evolutionary responses may…”
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Long-term dynamics of discrete-time predator-prey models: stability of equilibria, cycles and chaos
Published in Journal of difference equations and applications (03-05-2020)“…In [A.S. Ackleh, M.I. Hossain, A. Veprauskas, and A. Zhang, Persistence and stability analysis of discrete-time predator-prey models: A study of population and…”
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Corrigendum to "Persistence and Stability analysis of discrete-time predator-prey models: a study of population and evolutionary dynamics", Journal of Difference Equations and Applications, 25(2019), 1568-1603
Published in Journal of difference equations and applications (04-03-2021)Get full text
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Evolutionary game theory on measure spaces: Well-posedness
Published in Nonlinear analysis: real world applications (01-02-2013)“…An attempt is made to find a comprehensive mathematical framework in which to investigate the problems of well-posedness and asymptotic analysis for fully…”
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