This paper is concerned with the following attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source:■The system here is under a homogenous Neumann boundary condition in a bounded domainΩ...This paper is concerned with the following attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source:■The system here is under a homogenous Neumann boundary condition in a bounded domainΩ ■ R^(n)(n≥2),with χ,ξ,α,β,γ,δ,k_(1),k_(2)> 0,p> 2.In addition,the function f is smooth and satisfies that f(s)≤κ-μs~l for all s≥0,with κ ∈ R,μ> 0,l> 1.It is shown that(ⅰ)if l> max{2k_(1),(2k_(1)n)/(2+n)+1/(p-1)},then system possesses a global bounded weak solution and(ⅱ)if k_(2)> max{2k_(1)-1,(2k_(1)n)/(2+n)+(2-p)/(p-1)} with l> 2,then system possesses a global bounded weak solution.展开更多
This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system.We aim to understand the competition among the repulsion,the attraction,the nonlinear productions and give c...This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system.We aim to understand the competition among the repulsion,the attraction,the nonlinear productions and give conditions of global existence and blow-up for the two-dimensional attraction-repulsion chemotaxis system。展开更多
This paper is concerned with the attraction-repulsion Keller-Segel model with volume filling effect.We consider this problem in a bounded domainΩ■R^(3) under zero-flux boundary condition,and it is shown that the vol...This paper is concerned with the attraction-repulsion Keller-Segel model with volume filling effect.We consider this problem in a bounded domainΩ■R^(3) under zero-flux boundary condition,and it is shown that the volume filling effect will prevent overcrowding behavior,and no blow up phenomenon happen.In fact,we show that for any initial datum,the problem admits a unique global-in-time classical solution,which is bounded uniformly.Previous findings for the chemotaxis model with volume filling effect were derived under the assumption 0≤u_(0)(x)≤1 withρ(x,t)≡1.However,when the maximum size of the aggregate is not a constant but rather a functionρ(x,t),ensuring the boundedness of the solutions becomes significantly challenging.This introduces a fundamental difficulty into the analysis.展开更多
In this paper, we focus on the qualitative analysis of a parabolic^lliptic attraction- repulsion chemotaxis model with logistic source. Applying a fixed point argument, LP- estimate technique and Moser＇s iteration, w...In this paper, we focus on the qualitative analysis of a parabolic^lliptic attraction- repulsion chemotaxis model with logistic source. Applying a fixed point argument, LP- estimate technique and Moser＇s iteration, we derive that the model admits a unique 1 global solution provided the initial cell mass satisfying ｜｜u0｜｜L1≤ X4/xaCGN-2＋1/σ＋1σ（σ ＋ 1）-1/σ-1｜Ω｜ for σ = 1. While for σ〉 1, there are no restrictions on the initial cell mass and the result still holds.展开更多
The electromagnetism-like(EM)algorithm is a meta-heuristic optimization algorithm,which uses a novel searching mechanism called attraction-repulsion between charged particles.It is worth pointing out that there are tw...The electromagnetism-like(EM)algorithm is a meta-heuristic optimization algorithm,which uses a novel searching mechanism called attraction-repulsion between charged particles.It is worth pointing out that there are two potential problems in the calculation of particle charge by the original EM algorithm.One of the problems is that the information utilization rate of the population is not high,and the other problem is the decline of population diversity when the population size is much greater than the dimension of the problem.In contrast,it is more fully to exploit the useful search information based on the proposed new quadratic formula for charge calculation in this paper.Furthermore,the population size was introduced as a new multiplier term to improve the population diversity.In the end,numerical experiments were used to verify the performance of the proposed method,including a comparison with the original EM algorithm and other well-known methods such as artificial bee colony(ABC),and particle swarm optimization(PSO).The results showed the effectiveness of the proposed algorithm.展开更多
Spatial crowdsourcing(SC),as an effective paradigm for accomplishing spatiotemporal tasks,has gradually attracted widespread attention from both industry and academia.With the advancement of mobile technology,the serv...Spatial crowdsourcing(SC),as an effective paradigm for accomplishing spatiotemporal tasks,has gradually attracted widespread attention from both industry and academia.With the advancement of mobile technology,the service modes of SC have become more diversified and flexible,aiming to better meet the variable requirements of users.However,most research has focused on homogeneous task allocation problems under a single service model,without considering the individual differences among task requirements and workers.Consequently,many of these studies fail to achieve satisfactory outcomes in real scenarios.Based on real service scenarios,in this study,we investigate a heterogeneous multi-task allocation(HMTA)problem for hybrid scenarios and provide a formal description and definition of the problem.To solve the problem,we propose a role division approach embedded with an individual sorting model(RD-ISM).This approach is implemented based on a batch-based mode(BBM)and consists of two parts.First,an individual sorting model is introduced to determine the sequence of objects based on spatiotemporal attributes,prioritizing tasks and workers.Second,a role division model is designed based on an attraction–repulsion mechanism to match tasks and workers.Following several iterations over multiple batches,the approach obtains the final matching results.The effectiveness of the approach is verified using real and synthetic datasets and its performance is demonstrated through comparisons with other algorithms.Additionally,the impact of different parameters within the approach is investigated,confirming its scalability.展开更多
This study aimed to clarify the synergistic phototactic attraction-repulsion effect formed by the photo-induced approach-avoidance behavior of thrips,construct phototactic attraction-repulsion light control technologi...This study aimed to clarify the synergistic phototactic attraction-repulsion effect formed by the photo-induced approach-avoidance behavior of thrips,construct phototactic attraction-repulsion light control technologies.The phototactic push-pull effects of red light and UV(365 nm),violet(405 nm),green(520 nm),and yellow(560 nm)single light,as well as their pairwise combined light on the behavior of western flower thrips were investigated using an apparatus that measured thrips response.The study also analyzed the influence of light properties on the phototactic attraction-repulsion effects of thrips and the synergistic effects of red light,and the attraction-repulsion regulation mode.The influence factors on the photo-induced attraction-repulsion effect of thrips were also discussed.The results showed that the red light,presenting the push effect,drove thrips to respond to the sensitive light.The synergistic attraction-repulsion effect of red light and singlelight,as well as that of red light and combined light was related to the light intensity.However,the attraction-repulsion synergism did not reflect thrips response effect and approach effect pulled and pushed by red light and single light,red light and combined light.Thrips preference for green-yellow light,and their behavior depended on the degree of UV light,making the attraction-repulsion synergy of red and green light the strongest.When the light intensity increased,the attraction-repulsion synergy of red and yellow light was the strongest.The attraction-repulsion response to red light and single light was related to the spectral attribute of the single light,with that of red lightand UV light being better.The attraction-repulsion response to red light and combined light was related to light intensity.The intensity of combined light made the attraction-repulsion response to red light and the combined UV and violet light be the best,and the brightness of long-short spectrum light rendered red light and the combined UV and yellow light the best.All such light and combinations were remarkably better than that of red light and UV light.Relative to red light and UV light,the use ofred light and combined light provided limited enhancement to the approach effect of thrips;however,under red light and combined light,violet light intensified the approach of thrips to UV light,with yellow light strengthening the approach to green light.Those results provided a scientific basis for the development of light trapping equipment and the adjustment of light control strategies for thrips.展开更多
基金supported by the National Natural Science Foundation of China(12301251,12271232)the Natural Science Foundation of Shandong Province,China(ZR2021QA038)the Scientific Research Foundation of Linyi University,China(LYDX2020BS014)。
文摘This paper is concerned with the following attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source:■The system here is under a homogenous Neumann boundary condition in a bounded domainΩ ■ R^(n)(n≥2),with χ,ξ,α,β,γ,δ,k_(1),k_(2)> 0,p> 2.In addition,the function f is smooth and satisfies that f(s)≤κ-μs~l for all s≥0,with κ ∈ R,μ> 0,l> 1.It is shown that(ⅰ)if l> max{2k_(1),(2k_(1)n)/(2+n)+1/(p-1)},then system possesses a global bounded weak solution and(ⅱ)if k_(2)> max{2k_(1)-1,(2k_(1)n)/(2+n)+(2-p)/(p-1)} with l> 2,then system possesses a global bounded weak solution.
基金The NSF(11301419)of Chinathe Meritocracy Research Funds(17YC382)of China West Normal University
文摘This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system.We aim to understand the competition among the repulsion,the attraction,the nonlinear productions and give conditions of global existence and blow-up for the two-dimensional attraction-repulsion chemotaxis system。
基金supported by National Natural Science Foundation of China(12271186,11871230).
文摘This paper is concerned with the attraction-repulsion Keller-Segel model with volume filling effect.We consider this problem in a bounded domainΩ■R^(3) under zero-flux boundary condition,and it is shown that the volume filling effect will prevent overcrowding behavior,and no blow up phenomenon happen.In fact,we show that for any initial datum,the problem admits a unique global-in-time classical solution,which is bounded uniformly.Previous findings for the chemotaxis model with volume filling effect were derived under the assumption 0≤u_(0)(x)≤1 withρ(x,t)≡1.However,when the maximum size of the aggregate is not a constant but rather a functionρ(x,t),ensuring the boundedness of the solutions becomes significantly challenging.This introduces a fundamental difficulty into the analysis.
基金This work was supported by the National Natural Science Foundation of China （No. 61261044）.
文摘In this paper, we focus on the qualitative analysis of a parabolic^lliptic attraction- repulsion chemotaxis model with logistic source. Applying a fixed point argument, LP- estimate technique and Moser＇s iteration, we derive that the model admits a unique 1 global solution provided the initial cell mass satisfying ｜｜u0｜｜L1≤ X4/xaCGN-2＋1/σ＋1σ（σ ＋ 1）-1/σ-1｜Ω｜ for σ = 1. While for σ〉 1, there are no restrictions on the initial cell mass and the result still holds.
基金National Natural Science Foundation of China(Nos.61602398 and U19A2083)Science and Technology Development of Hunan Province,China(No.2019GK4007)。
文摘The electromagnetism-like(EM)algorithm is a meta-heuristic optimization algorithm,which uses a novel searching mechanism called attraction-repulsion between charged particles.It is worth pointing out that there are two potential problems in the calculation of particle charge by the original EM algorithm.One of the problems is that the information utilization rate of the population is not high,and the other problem is the decline of population diversity when the population size is much greater than the dimension of the problem.In contrast,it is more fully to exploit the useful search information based on the proposed new quadratic formula for charge calculation in this paper.Furthermore,the population size was introduced as a new multiplier term to improve the population diversity.In the end,numerical experiments were used to verify the performance of the proposed method,including a comparison with the original EM algorithm and other well-known methods such as artificial bee colony(ABC),and particle swarm optimization(PSO).The results showed the effectiveness of the proposed algorithm.
基金supported by the National Science and Technology Innovation 2030 Major Project of the Ministry of Science and Technology of China(No.2018AAA0101200)。
文摘Spatial crowdsourcing(SC),as an effective paradigm for accomplishing spatiotemporal tasks,has gradually attracted widespread attention from both industry and academia.With the advancement of mobile technology,the service modes of SC have become more diversified and flexible,aiming to better meet the variable requirements of users.However,most research has focused on homogeneous task allocation problems under a single service model,without considering the individual differences among task requirements and workers.Consequently,many of these studies fail to achieve satisfactory outcomes in real scenarios.Based on real service scenarios,in this study,we investigate a heterogeneous multi-task allocation(HMTA)problem for hybrid scenarios and provide a formal description and definition of the problem.To solve the problem,we propose a role division approach embedded with an individual sorting model(RD-ISM).This approach is implemented based on a batch-based mode(BBM)and consists of two parts.First,an individual sorting model is introduced to determine the sequence of objects based on spatiotemporal attributes,prioritizing tasks and workers.Second,a role division model is designed based on an attraction–repulsion mechanism to match tasks and workers.Following several iterations over multiple batches,the approach obtains the final matching results.The effectiveness of the approach is verified using real and synthetic datasets and its performance is demonstrated through comparisons with other algorithms.Additionally,the impact of different parameters within the approach is investigated,confirming its scalability.
基金We acknowledge that this work was financially supported by the Scientific and Technological Project in Henan Province(Grant No.212102110139,212102110229)the special project of Xinxiang Science and Technology(Grant No.21ZD003)the Agriculture Research System of MOF and MARA(Grant No.CARS-03).
文摘This study aimed to clarify the synergistic phototactic attraction-repulsion effect formed by the photo-induced approach-avoidance behavior of thrips,construct phototactic attraction-repulsion light control technologies.The phototactic push-pull effects of red light and UV(365 nm),violet(405 nm),green(520 nm),and yellow(560 nm)single light,as well as their pairwise combined light on the behavior of western flower thrips were investigated using an apparatus that measured thrips response.The study also analyzed the influence of light properties on the phototactic attraction-repulsion effects of thrips and the synergistic effects of red light,and the attraction-repulsion regulation mode.The influence factors on the photo-induced attraction-repulsion effect of thrips were also discussed.The results showed that the red light,presenting the push effect,drove thrips to respond to the sensitive light.The synergistic attraction-repulsion effect of red light and singlelight,as well as that of red light and combined light was related to the light intensity.However,the attraction-repulsion synergism did not reflect thrips response effect and approach effect pulled and pushed by red light and single light,red light and combined light.Thrips preference for green-yellow light,and their behavior depended on the degree of UV light,making the attraction-repulsion synergy of red and green light the strongest.When the light intensity increased,the attraction-repulsion synergy of red and yellow light was the strongest.The attraction-repulsion response to red light and single light was related to the spectral attribute of the single light,with that of red lightand UV light being better.The attraction-repulsion response to red light and combined light was related to light intensity.The intensity of combined light made the attraction-repulsion response to red light and the combined UV and violet light be the best,and the brightness of long-short spectrum light rendered red light and the combined UV and yellow light the best.All such light and combinations were remarkably better than that of red light and UV light.Relative to red light and UV light,the use ofred light and combined light provided limited enhancement to the approach effect of thrips;however,under red light and combined light,violet light intensified the approach of thrips to UV light,with yellow light strengthening the approach to green light.Those results provided a scientific basis for the development of light trapping equipment and the adjustment of light control strategies for thrips.
