Representation Formulas and Stability Analysis for Hilfer–Hadamard Proportional Fractional Differential Equations DOI Creative Commons
Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(6), P. 359 - 359

Published: May 29, 2025

This paper introduces a novel version of the Gronwall inequality specifically related to Hilfer–Hadamard proportional fractional derivative. By utilizing Picard’s method successive approximations along with definition Mittag–Leffler functions, we derive representation formula for solution differential equation featuring constant coefficients, expressed in form kernel. We establish uniqueness through application Banach’s fixed-point theorem, leveraging several properties The current study outlines optimal stability, new Ulam-type concept based on classical special functions. It aims improve approximation accuracy by optimizing perturbation offering flexible solutions various systems. While existing Ulam stability concepts have gained interest, extending and them control analysis science engineering remains challenge. proposed approach not only encompasses previous ideas but also emphasizes enhancement optimization model stability. numerical results, presented tables charts, are provided section facilitate better understanding.

Language: Английский

Diversity begets stability: Sublinear growth and competitive coexistence across ecosystems DOI

Ian Hatton,

Onofrio Mazzarisi, Ada Altieri

et al.

Science, Journal Year: 2024, Volume and Issue: 383(6688)

Published: March 14, 2024

The worldwide loss of species diversity brings urgency to understanding how diverse ecosystems maintain stability. Whereas early ecological ideas and classic observations suggested that stability increases with diversity, theory makes the opposite prediction, leading long-standing "diversity-stability debate." Here, we show this puzzle can be resolved if growth scales as a sublinear power law biomass (exponent <1), exhibiting form population self-regulation analogous models individual ontogeny. We competitive interactions among populations do not lead exclusion, occurs logistic growth, but instead promote at higher diversity. Our model realigns predicts large-scale macroecological patterns. However, it an unsettling prediction: Biodiversity may accelerate destabilization ecosystems.

Language: Английский

Citations

52
Stable Soil Biota Network Enhances Soil Multifunctionality in Agroecosystems DOI
Xianwen Long, Jiangnan Li, Xionghui Liao

et al.

Global Change Biology, Journal Year: 2025, Volume and Issue: 31(1)

Published: Jan. 1, 2025

ABSTRACT Unraveling how agricultural management practices affect soil biota network complexity and stability these changes relate to processes functions is critical for the development of sustainable agriculture. However, our understanding knowledge still remains unclear. Here, we explored effects intensity on complexity, stability, multifunctionality, as well relationships among factors. Four typical land use types representing a gradient disturbance were selected in calcareous red soils southwest China. The four with increasing included pasture, sugarcane farmland, rice paddy fields, maize cropland. cohesion, topological features (e.g., average degree, clustering coefficient, path length, diameter, graph density, modularity), variation degree used evaluate strength interactions between species, respectively. results showed that intensive increased species competition but decreased stability. Soil microfauna nematode, protozoa, arthropoda) stabilized entire through top‐down control. rather than or biodiversity predicted dynamics multifunctionality. Specifically, stable communities, both organism groups archaea, bacteria, fungi, arthropoda, viridiplantae, viruses), support high In particular, had more contributions multifunctionality microbial communities. This result was further supported by analysis, which modules 1 4 greater numbers explained Our study highlights should be considered key factor improving sustainability crop productivity context global intensification.

Language: Английский

Citations

6
Lactobacillus murinus ZNL-13 Modulates Intestinal Barrier Damage and Gut Microbiota in Cyclophosphamide-Induced Immunosuppressed Mice DOI Creative Commons
Yihan Dong, Luyao Zhang, Di Qiu

et al.

Foods, Journal Year: 2025, Volume and Issue: 14(8), P. 1416 - 1416

Published: April 19, 2025

Cyclophosphamide (CTX) is a widely used anticancer drug in clinical practice; however, its administration can lead to gastrointestinal damage and immune suppression. Lactobacillus murinus (L. murinus) has been shown regulate cell activity protect the system, showing potential application as functional food. The objective of this study was investigate effects L. ZNL-13 on CTX-induced intestinal mucosal injury gut microbiota mice. results demonstrated that significantly alleviated weight loss pathological damage. Moreover, mice, enhanced release factors, suppressed apoptosis, protected barrier. Additionally, it activated TLR4/NF-κB pathway, thereby promoting activity. Furthermore, contributed restoration microbial homeostasis by increasing relative abundance short-chain fatty acid-producing bacteria. Taken together, investigation highlights protecting barrier enhancing function while laying groundwork for development novel probiotic

Language: Английский

Citations

1
Uncovering the multi-fencing effects: Changes in plant diversity across dimensions and spatio, and the relationship between diversity and stability DOI
Yong Qin, Wei Sun, Shaowei Li

et al.

Journal of Environmental Management, Journal Year: 2025, Volume and Issue: 373, P. 124019 - 124019

Published: Jan. 1, 2025

Language: Английский

Citations

1
Effects of biodiversity on functional stability of freshwater wetlands: a systematic review DOI Creative Commons

Aiwen Song,

Liang Shen, Huai Li

et al.

Frontiers in Microbiology, Journal Year: 2024, Volume and Issue: 15

Published: April 8, 2024

Freshwater wetlands are the wetland ecosystems surrounded by freshwater, which at interface of terrestrial and freshwater ecosystems, rich in ecological composition function. Biodiversity plays a key role maintaining stability their habitat functions. Due to anthropogenic interference global change, biodiversity decreases, turn destroys function leads serious degradation wetlands. An in-depth understanding effects on its regulation is crucial for conservation. Therefore, this paper reviews environmental drivers wetlands, explores plant diversity microbial stability, reveals impacts mechanisms changes biodiversity, further proposes an outlook research. This provides important reference conservation enhancement.

Language: Английский

Citations

5
The kinetics of SARS-CoV-2 infection based on a human challenge study DOI Creative Commons
Sarafa A. Iyaniwura, Ruy M. Ribeiro, Carolin Zitzmann

et al.

Proceedings of the National Academy of Sciences, Journal Year: 2024, Volume and Issue: 121(46)

Published: Nov. 7, 2024

Studying the early events that occur after viral infection in humans is difficult unless one intentionally infects volunteers a human challenge study. Here, we use data about severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) such study combination with mathematical modeling to gain insights into relationship between amount of virus upper tract and immune response it generates. We propose set dynamic models increasing complexity dissect roles target cell limitation, innate immunity, adaptive immunity determining observed kinetics. introduce an approach for effect humoral describes decline infectious activation. fit our load titer from all untreated infected participants simultaneously. found power-law power h < 1 load. Viral replication at stage rapid, doubling time ~2 RNA ~3 virus. estimate initiated ~7 10 d postinfection appears contribute multiphasic experienced by some participants; rebound other consistent interferon response. Altogether, quantified kinetics SARS-CoV-2 infection, shedding light on dynamics potential role promoting during infection.

Language: Английский

Citations

5
Moving in the landscape: Omnidirectional connectivity dynamics in China from 1985 to 2020 DOI
Haowei Mu, Shanchuan Guo, Xingang Zhang

et al.

Environmental Impact Assessment Review, Journal Year: 2024, Volume and Issue: 110, P. 107721 - 107721

Published: Nov. 16, 2024

Language: Английский

Citations

5
Ecosystem engineers shape ecological network structure and stability: A framework and literature review DOI Creative Commons
Dirk Sanders, Enric Frago

Functional Ecology, Journal Year: 2024, Volume and Issue: 38(8), P. 1683 - 1696

Published: June 23, 2024

Abstract Ecosystem engineering is a ubiquitous process where species influence the physical environment and thereby structure ecological communities. However, there has been little effort to synthesize or predict how ecosystem may impact stability of interaction networks. To assess current scientific understanding impacts via habitat forming, modification bioturbation on networks/food webs, we reviewed literature covering marine, freshwater terrestrial food plant‐pollinator networks theory. We provide conceptual framework identify three major pathways through changes in resource availability energy flow, heterogeneity environmental filtering. These processes often work concert most studies report that increases richness. This particularly marked for engineers increase number available niches. The response network varies, however some patterns emerge from this review. Engineered leads higher links between link density. Connectance can be negatively positively affected by engineer impact, depending pathway discuss stabilize destabilize communities niche space, diversity, dependency impact. Theory empirical evidence need inform each other better integrate A mechanistic traits shape interactions their will important extinctions crucial information conservation restoration. Read free Plain Language Summary article Journal blog.

Language: Английский

Citations

4
Modeling tumors as complex ecosystems DOI Creative Commons
Guim Aguadé‐Gorgorió, Alexander R.A. Anderson, Ricard V. Solé

et al.

iScience, Journal Year: 2024, Volume and Issue: 27(9), P. 110699 - 110699

Published: Aug. 10, 2024

Many cancers resist therapeutic intervention. This is fundamentally related to intratumor heterogeneity: multiple cell populations, each with different phenotypic signatures, coexist within a tumor and its metastases. Like species in an ecosystem, cancer populations are intertwined complex network of ecological interactions. Most mathematical models ecology, however, cannot account for such diversity or predict consequences. Here, we propose that the generalized Lotka-Volterra model (GLV), standard tool describe species-rich communities, provides suitable framework ecology heterogeneous tumors. We develop GLV growth discuss how emerging properties provide new understanding disease. potential extensions their application plasticity, cancer-immune interactions, metastatic growth. Our work outlines set questions road map further research ecology.

Language: Английский

Citations

3
Abundant taxa enhanced stability of fungal communities according to reduced nitrogen fertilization DOI
Heming Han, Bo Zhang, Hao Liu

et al.

Soil and Tillage Research, Journal Year: 2025, Volume and Issue: 249, P. 106501 - 106501

Published: Feb. 17, 2025

Language: Английский

Citations

0