Results 91 to 100 of about 170,441 (221)

Nonlinear Dynamics of the Rock-Paper-Scissors Game with Mutations

open access: yes, 2015
We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation ...
Strogatz, Steven H.   +1 more
core   +1 more source

Disease Transmission on Random Graphs Using Edge‐Based Percolation

open access: yesMathematical 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
wiley   +1 more source

Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management

open access: yesMathematical Biosciences and Engineering
Balancing economic prosperity with environmental conservation is crucial in managing renewable bioeconomic resources. We explored a predator-prey fishery model that incorporates tourism, dynamic harvesting, and pricing strategies.
Santanu Bhattacharya, Nandadulal Bairagi
doaj   +1 more source

Within‐Host Mathematical Modeling of Antibiotic‐phage Treatments on Lysogenic and Nonlysogenic Bacteria Dynamics

open access: yesMathematical 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

Bifurcation analysis of commensalism intraction and harvisting on food chain model

open access: yesBrazilian Journal of Biometrics, 2023
In this paper, we study the incorporation of the commensalism interaction and harvesting on the Lotka–Volterra food chain model. The system provides one commensal prey, one harvested prey, and two predators.
S. Jawad, Sarab Kazim Hassan
semanticscholar   +1 more source

Population Dynamic Study of Prey-Predator Interactions with Weak Allee Effect, Fear Effect, and Delay

open access: yesJournal of Mathematics, 2022
In this study, a predator-prey model with the Allee effect and fear effect is established. We use the comparison principle to prove boundedness. The zero equilibrium point and nonzero equilibrium point of the model are calculated, and the local stability
Ye Xuan Li   +5 more
doaj   +1 more source

Impact of alternative food on predator diet in a Leslie-Gower model with prey refuge and Holling Ⅱ functional response

open access: yesMathematical Biosciences and Engineering, 2023
Since certain prey hide from predators to protect themselves within their habitats, predators are forced to change their diet due to a lack of prey for consumption, or on the contrary, subsist only with alternative food provided by the environment ...
Christian Cortés García   +1 more
doaj   +1 more source

Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution

open access: yes, 2008
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standing interest.
E. A. Martens   +10 more
core   +1 more source

Dynamic transcritical bifurcations in a class of slow–fast predator–prey models

open access: yesJournal of Differential Equations, 2009
We study the stability loss delay phenomenon in a dynamic transcritical bifurcation in a class of three-dimensional prey and predator systems. The dynamics of the predator is assumed to be slow comparatively to the dynamics of the prey. As an application, a well-known model considered by Clark will be discussed.
Boudjellaba, Hafida, Sari, Tewfik
openaire   +4 more sources

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