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This paper addresses the optimal vaccination and treatment control problems for regional approximate controllability of a new spatiotemporal epidemic model that is developed by afterwards adding at the basic susceptible-infected-recovered (SIR) epidemic system with the Caputo time-fractional derivative of order α∈(0,1] and the diffusion term in each compartment. The obtained results can be used by policy-makers in any nation to optimally plan the limited vaccination and treatment resources ahead of ongoing outbreaks. Toward this aim the Sakawa-type controll

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This study demonstrates the essential role of clathrin in the infectious process of a plant pathogenic fungus and more particularly its role in virulence factors delivery.Pyrus hopeiensis is a valuable but endangered wild resource in the genus Pyrus. It has been listed as one of the 120 wild species with tiny population in China. The specie has been little studied. A preliminary study of propagation modes in P. hopeiensis was performed through seed propagation, hybridization, self-crossing trials, bud grafting, branch grafting, and inves