Dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation

Zhang, Shengqiang; Zhang, Tonghua; Yuan, Sanling

doi:10.1016/j.ecocom.2020.100889

Cited by 53 publications

(18 citation statements)

References 34 publications

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“…The standard multiple-scale analysis yields the well-known amplitude equations. Close to the onset S S T , the eigenvalues associated to the critical modes are close to zero, and they are slowly varying modes, whereas the off-critical mode relax quickly [15,34]. Consequently, the whole dynamical behaviors can be mainly determined by the dynamics of the active slow modes.…”

Section: Multiple Scale Analysis For Turing Patternsmentioning

confidence: 98%

Pattern Dynamics of Vegetation Growth With Saturated Water Absorption

Cao

Bao³

2021

Front. Phys.

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Regular pattern is a typical feature of vegetation distribution and thus it is important to study the law of vegetation evolution in the fields of desertification and environment conservation. The saturated water absorption effect between the soil water and vegetation plays an crucial role in the vegetation patterns in semi-arid regions, yet its influence on vegetation dynamics is largely ignored. In this paper, we pose a vegetation-water model with saturated water absorption effect of vegetation. Our results show that the parameter 1/P, which is conversion coefficient of water absorption, has a great impact on pattern formation of vegetation: with the increase of P, the density of vegetation decrease, and meanwhile it can induce the transition of different patterns structures. In addition, we find that the increase of appropriate precipitation can postpone the time on the phase transition of the vegetation pattern. The obtained results systematically reveal the effect of saturated water absorption on vegetation systems which well enrich the findings in vegetation dynamics and thus may provide some new insights for vegetation protection.

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Section: Multiple Scale Analysis For Turing Patternsmentioning

confidence: 98%

Pattern Dynamics of Vegetation Growth With Saturated Water Absorption

Cao

Bao³

2021

Front. Phys.

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“…From [24], we know that the jump noise and the general noise can make the population extinct. [31] discussed the dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation. The results show that environmental noise is disadvantage for the survival of biological population.…”

Section: Persistencementioning

confidence: 99%

Dynamics of a stochastic population model with Allee effect and jumps

Rong

Liu

2022

Math. Model. Nat. Phenom.

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This paper is concerned with a stochastic population model with Allee effect and jumps. First, we show the global existence of almost surely positive solution to the model. Next, exponential extinction and persistence in mean are discussed. Then, we investigated the global attractivity and stability in distribution. At last, some numerical results are given. The results show that if attack rate $a$ is in the intermediate range or very large, the population will go extinct. Under the premise that attack rate $a$ is less than growth rate $r$, if the noise intensity or jump is relatively large, the population will become extinct; on the contrary, the population will be persistent in mean. The results in this paper generalize and improve the previous related results.

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“…Firstly, the Poisson random number is considered, and with the help of the TOPSIS evaluation method, the scores and ranking comparison table of 302 enterprises before and after the introduction of random distribution are obtained [7][8][9][10][11][12][13][14][15][16][17]. The scores and ranking of the top 20 enterprises with enterprise number before and after the introduction of random distribution are shown in Table 2.…”

Section: Example Checkingmentioning

confidence: 99%

Multiobjective Programming Strategy of Small- and Medium-Sized Microenterprise Credit Based on Random Factors

Fan

2021

Journal of Function Spaces

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In this paper, we select eight indicators from the aspects of an enterprise’s bill transaction information, namely, whether the enterprise’s loan is in breach of contract, effective invoice rate, total utilization rate of price and tax, negative invoice rate, strength of enterprise, coefficient of variation, flow efficiency of assets, and influence of upstream and downstream enterprises; then, we construct an evaluation index system. According to different industries, different categories, and the impact of random factors, we divide the types of enterprises into 10 categories. Then, we use three kinds of Poisson random numbers to carry out numerical simulation on the total price and tax of enterprises in different industries under the influence of COVID-19.

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Dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation

Cited by 53 publications

References 34 publications

Pattern Dynamics of Vegetation Growth With Saturated Water Absorption

Pattern Dynamics of Vegetation Growth With Saturated Water Absorption

Dynamics of a stochastic population model with Allee effect and jumps

Multiobjective Programming Strategy of Small- and Medium-Sized Microenterprise Credit Based on Random Factors

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