Geodesic
Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion
Filomat, Tome 36 (2022) no. 7, p. 2153

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DOI

In this paper, a cross-diffusion predator-prey model with general functional response and stage-structure for the prey is analyzed. The global existence of classical solutions to the system of strong coupled reaction-diffusion type is proved when the space dimension less than ten by the energy estimates and the bootstrap arguments. The crucial point of the proof is to deal with the cross-diffusion term and the nonlinear predation term.
DOI : 10.2298/FIL2207153L
Classification : 35J60, 35B32, 92D25
Keywords: predator-prey model, stage structure, cross-diffusion, Global solution 
Xiaojuan Li; Shenghu Xu. Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion. Filomat, Tome 36 (2022) no. 7, p. 2153 . doi: 10.2298/FIL2207153L
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     title = {Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion},
     journal = {Filomat},
     pages = {2153 },
     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2207153L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207153L/}
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