2019
DOI: 10.1016/j.matcom.2019.03.010
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Turing patterns in a reaction–diffusion system modeling hunting cooperation

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Cited by 32 publications
(31 citation statements)
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“…The initial disease transmission is directly related to R 0 ; for this reason, we calculate the sensitivity indices of the basic reproductive number R 0 . Let p a generic parameter of model (1)- (4). The normalized forward sensitivity index of R 0 (which is differentiable with respect to p) is defined as…”
Section: Sensitivity Analysismentioning
confidence: 99%
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“…The initial disease transmission is directly related to R 0 ; for this reason, we calculate the sensitivity indices of the basic reproductive number R 0 . Let p a generic parameter of model (1)- (4). The normalized forward sensitivity index of R 0 (which is differentiable with respect to p) is defined as…”
Section: Sensitivity Analysismentioning
confidence: 99%
“…The index modulus is an indicator of the size of the effect of changes in that parameter. As we have an explicit expression of R 0 , we derive an analytical expression for the sensitivity of R 0 to each of the different parameters of model (1)- (4). Precisely,…”
Section: Sensitivity Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…In the present paper we have extended [18], introducing self-and cross-diffusion terms. The spatial diffusion plays an important role in the process of population evolution, not only in ecology but also in many other fields of applied mathematics such as biochemistry or economics and the effect of self-and cross-diffusion on the population dynamics has been widely investigated theoretically by many mathematicians ( [19][20][21][22][23][24] and references therein). Self-diffusion terms model the random movement of individuals in both prey and predator populations.…”
Section: Introductionmentioning
confidence: 99%
“…In the present paper, we consider the following reactiondiffusion system [7][8][9], which is described as zη zt (η, u, v) are the known nonlinear functions of η, u, and v.…”
Section: Introductionmentioning
confidence: 99%