No permission is required.

1. First, the photo is a mechanical scan/photocopy from the original cover and does not qualify for independent copyright protection.
2. Second, the dust jacket was first published prior to 1978 without a valid copyright notice. The Mothman Prophecies was first published in 1975; the hardcover book itself carried a copyright notice, so its contents remain copyrighted. However, the first-edition dust jacket did not carry a separate copyright notice. According to The Compendium of U.S. Copyright Office Practices: Chapter 2200, § 2207.1(C) at p. 15:  :"A notice of copyright on the dust jacket of a book is not an acceptable notice for the book, because the dust jacket is not permanently attached to the book. Likewise, a notice appearing in a book is not an acceptable notice for the dust jacket or any material appearing on that dust jacket, even if the book refers to the jacket or material appearing on the jacket."

At least one source can be used to verify the dust jacket's lack of a copyright notice: an Etsy listing that contains the entire dust jacket.
Keep in mind that the pre-1989 requirements for copyright notice were highly formalistic and, other than a few enumerated exceptions, required these three elements:

1. "The symbol © or the word 'Copyright' or the abbreviation 'Copr.' or an acceptable variant such as "(c)";
2. "The year of first publication for the work"; and
3. "The name of the copyright owner, or an abbreviation by which the name can be recognized, or a generally known alternative designation of the owner."

If just one of these elements is omitted, the work is deemed to be published without notice and is not eligible for copyright protection. Neither the year "1975" nor a copyright symbol (or any acceptable variant) appear anywhere in a part of the dust jacket. Credits do not meet the requirements, nor do the identifications of the publisher and author.