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Formation of spatial patterns in epidemic model with constant removal rate of the infectives

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Quan-Xing Liu, Zhen Jin

Populations and Evolution · Submitted 3 Oct 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Below the critical value the spatial patterns are impermanent, whereas above it stationary spot and stripe patterns can coexist over time.

how it is stated · asserted 0.95 read the record →

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arXiv IDq-bio/0610006 (version 4)
Pith IDGZ3DAOER, Pith's permanent record of this paper and its review
CitationQuan-Xing Liu, Zhen Jin. "Formation of spatial patterns in epidemic model with constant removal rate of the infectives." arXiv:q-bio/0610006 (2006). https://pith.science/paper/GZ3DAOER
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,141 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.70 · human participants 0.03 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

This paper addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. In particular, we present theoretical analysis to results of the numerical simulations in two dimensions. Moreover, there is a critical value for the system within the linear regime. Below the critical value the spatial patterns are impermanent, whereas above it stationary spot and stripe patterns can coexist over time. We have observed the striking formation of spatial patterns during the evolution, but the isolated ordered spot patterns don't emerge in the space.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This paper addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. contribution 0.52 0.35 0.07 unclear 0.67
s1 In particular, we present theoretical analysis to results of the numerical simulations in two dimensions. method 0.59 0.85 0.05 asserted 0.91
s2 Moreover, there is a critical value for the system within the linear regime. result 0.99 0.73 0.09 asserted 1.00
s3 Below the critical value the spatial patterns are impermanent, whereas above it stationary spot and stripe patterns can coexist over time. result 0.99 0.82 0.55 asserted 0.95
s4 We have observed the striking formation of spatial patterns during the evolution, but the isolated ordered spot patterns don't emerge in the space. result 0.99 0.92 0.19 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.68 · evidence from simulation or computation 0.93.

What was examined, and what was not

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  • arXiv listing abstract v4
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

This paper addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. In particular, we present theoretical analysis to results of the numerical simulations in two dimensions. Moreover, there is a critical value for the system within the linear regime. Below the critical value the spatial patterns are impermanent, whereas above it stationary spot and stripe patterns can coexist over time. We have observed the striking formation of spatial patterns during the evolution, but the isolated ordered spot patterns don't emerge in the space.

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