Results 81 to 90 of about 4,320 (200)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
wiley +1 more source
Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses
Complexity, 2020 In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. The positivity, boundedness, and uniform persistence of the system are established.
Kankan Sarkar +3 more
doaj +1 more source
Advances in Difference Equations, 2020 In this paper, a two-species competitive model with Michaelis–Menten type harvesting in the first species is studied. We have made a detailed mathematical analysis of the model to describe some important results that may be produced by the interaction of
Xiangqin Yu, Zhenliang Zhu, Zhong Li
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Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model
, 2018 We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that describes dynamics in a food chain "prey-predator-superpredator".
Bakhanova, Yu. V. +4 more
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Dynamic transcritical bifurcations in a class of slow–fast predator–prey models
Journal of Differential Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boudjellaba, Hafida, Sari, Tewfik
openaire +3 more sources
Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan +3 more
wiley +1 more source
Multiscale Geometry of the Olsen Model and Non-Classical Relaxation Oscillations
, 2014 We study the Olsen model for the peroxidase-oxidase reaction. The dynamics is analyzed using a geometric decomposition based upon multiple time scales.
Kuehn, Christian, Szmolyan, Peter
core +2 more sources
Disease Transmission on Random Graphs Using Edge‐Based Percolation
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11265-11290, 30 July 2025.ABSTRACT Edge‐based percolation methods can be used to analyze disease transmission on complex social networks. This allows us to include complex social heterogeneity in our models while maintaining tractability. Here, we begin by reviewing the seminal works on this field in previous studies by Newman et al. (2002, 2003) and Miller et al. (2012).
Sicheng Zhao, Felicia Maria G. Magpantay
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MathematicsThis paper delves into the dynamics of a discrete-time predator–prey system. Initially, it presents the existence and stability conditions of the fixed points.
Ming Liu, Linyi Ma, Dongpo Hu
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
wiley +1 more source