Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Dec. 8, 2024
Language: Английский
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Journal Year: 2024, Volume and Issue: 480(2302)
Published: Nov. 1, 2024
Nature is a blossoming of regular structures, signature self-organization the underlying microscopic interacting agents. Turing theory pattern formation one most studied mechanisms to address such phenomena and has been applied widespread gallery disciplines. himself used spatial discretization hosting support eventually deal with set ODEs. Such an idea contained seeds on discrete support, which fully acknowledged birth network science in early 2000s. This approach allows us tackle several settings not displaying trivial continuous embedding, as multiplex, temporal networks and, recently, higher-order structures. line research mostly confined within community, despite its inherent potential transcend conventional boundaries PDE-based patterns. Moreover, topology for novel dynamics be generated via universal formalism that can readily extended account The interplay between pave way further developments field.
Language: Английский
Citations
4
Physics Reports, Journal Year: 2025, Volume and Issue: 1111, P. 1 - 64
Published: Feb. 1, 2025
Language: Английский
Citations
0
Physics Reports, Journal Year: 2024, Volume and Issue: 1107, P. 1 - 45
Published: Dec. 2, 2024
Citations
3
Mathematical Biosciences, Journal Year: 2025, Volume and Issue: 382, P. 109402 - 109402
Published: Feb. 21, 2025
Language: Английский
Citations
0
Heliyon, Journal Year: 2024, Volume and Issue: 10(22), P. e40255 - e40255
Published: Nov. 1, 2024
Brucellosis, a prevalent zoonotic disease caused by bacteria from the genus Brucella, presents substantial public health and economic challenges worldwide. In this paper, we formulate two-patch deterministic model to investigate impact of short-term displacement domestic animals on transmission dynamics brucellosis within between patches with heterogeneous risk infection. The analysis is performed, basic reproduction number (R0) computed used in stability equilibria. A global sensitivity performed using Latin Hypercube Sampling (LHS) approach check parameters over period time. Numerical simulation results indicate that increase time spent high-risk areas, such as communal grazing areas or wildlife interfaces, significantly increases spread infections. This underscores importance considering animal movements water points management strategies. It equips policymakers stakeholders actionable insights combat burden disease.
Language: Английский
Citations
1
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(10)
Published: Oct. 1, 2024
Current research on pattern formations in networked reaction–diffusion (RD) systems predominantly focuses the impacts of diffusion heterogeneity between nodes, often overlooking contact individuals within nodes reaction terms. In this paper, we establish a RD model incorporating infection through higher-order interaction simplicial complexes Through theoretical and numerical analysis, find that these interactions may induce Turing instability system. Notably, relationship size range average 2-simplices degree can be approximated by quadratic function. Additionally, as increases, amplitude patterns exhibits three distinct trends: increasing, decreasing, initially increasing then while density increases consistently. We provide possible explanation for observations. Our findings offer new insights into effects formations, thereby informing development epidemic prevention control measures.
Language: Английский
Citations
1
AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(10), P. 28643 - 28670
Published: Jan. 1, 2024
<p>Mathematical models play a crucial role in understanding the dynamics of epidemic diseases by providing insights into how they spread and be controlled. In biomathematics, mathematical modeling is powerful tool for interpreting experimental results biological phenomena related to disease transmission, offering precise quantitative processes involved. This paper focused on discrete model Hepatitis C virus (HCV) analyze its dynamical behavior. Initially, we examined local at steady states, foundation system's stability under various conditions. We then conducted detailed bifurcation analysis, revealing that HCV undergoes Neimark-Sacker uninfected state. Notably, our analysis showed no period-doubling or fold bifurcations occur this Further investigation infected state demonstrated presence both bifurcations, which are characterized using explicit criteria. By employing feedback control strategy, explored chaotic behavior within model, highlighting complex can arise certain Numerical simulations were verify theoretical results, illustrating model's validity applicability. From perspective, gained from enhance transmission potential intervention strategies. The implies small perturbations could lead oscillatory behavior, may correspond fluctuations number infections over time. finding suggests maintaining critical preventing outbreaks. indicate more patterns, represent persistent cycles infection remission population. Finally, exploration through highlights challenges predicting need careful management strategies avoid outbreaks.</p>
Language: Английский
Citations
0
Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(12)
Published: Dec. 1, 2024
This study expands traditional reaction–diffusion models by incorporating hyperbolic dynamics to explore the effects of inertial delays on pattern formation. The kinetic system considers a harvested predator–prey model where predator and prey populations gather in herds. Diffusion are subsequently introduced. Theoretical frameworks establish conditions for stability, revealing that delay notably alters diffusion-induced instabilities Hopf bifurcations. inclusion narrows stability region wave instability, which cannot arise two-variable spatiotemporal without inertia. Computational simulations demonstrate Turing lead diverse spatial patterns. highlights initial influence generating distinct patterns based different values, while other remain unaffected. Additionally, patterns, such as hot spots, cold stripes, observed within region. impact harvesting is also examined, showing increased efforts can shift systems between unstable uniform states. findings provide practical implications ecological modeling, offering insights into how practices affect formation natural populations.
Language: Английский
Citations
0
New Journal of Physics, Journal Year: 2024, Volume and Issue: 26(10), P. 103041 - 103041
Published: Oct. 1, 2024
Abstract Complex dynamical behaviors, such as bistable and periodic phenomena, have been shown to emerge due group interactions in higher-order networks. Traditionally, the transitions between these behaviors are primarily driven by changing model parameters that represent transmission characteristics of a single infectious disease, while maintaining fixed network structure. However, for newly emerging diseases, modifying structures is crucial generally fixed. This study investigates altering structure, specifically facet degree heterogeneity simplicial complex, under same parameters. We develop incorporating distributions derive corresponding outbreak thresholds. Firstly, we validated rationality using Monte Carlo simulation. Subsequently, comparing general base different structures, demonstrate advantage capturing behavior. Furthermore, it was discovered variations lead phase stability region equilibrium. finally provide distribution stable equilibrium regions with varying heterogeneity. These findings offer valuable insights prevention control diseases.
Language: Английский
Citations
0
Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown
Published: Dec. 8, 2024
Language: Английский
Citations
0